LCM of 420 and 425
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 420 and 425 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 35700 as output. Here you can check the answer for Find the LCM of 420 and 425.
What is LCM of 420 and 425
Given Numbers are 420, 425
We can find the LCM of 420, 425 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 420 and 425
Multiples of 420 =420,840,1260,1680,2100,2520,2940,3360,3780,4200,4620,5040,5460,5880,6300,6720,7140,
Multiples of 425 =425,850,1275,1700,2125,2550,2975,3400,3825,4250,4675,5100,5525,5950,6375,6800,7225,
Now, get the least common multiple of 420, 425 which is 35700
So, the LCM of 420, 425 is 35700.
Least Common Multiple (LCM) of 420 and 425 with the help of Prime Factorisation
One method for determining the LCM of 420 and 425 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:
Here is 420's prime factorization:
| 2 | 420 |
| 2 | 210 |
| 3 | 105 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 420 are 2, 3, 5,7.
420 = 22×31×51×71
And this is 425's prime factorization:
| 5 | 425 |
| 5 | 85 |
| 17 | 17 |
| 1 |
Prime factors of 425 are 5,17.
425 = 52×171
When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 2, 3, 5,7,17
.22×31×52×71×171 = 35700
This shows that the LCM of 420 and 425 is 35700.
How to Calculate the LCM of 420 and 425 Using Common Multiples
The first step in determining the Least Common Multiple of 420 and 425 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 420 and 425:
Lets look at the first ten multiples of these numbers, 420 and 425:
420,840,1260,1680,2100,2520,2940,3360,3780,7140 are the first ten multiples of 420.
425,850,1275,1700,2125,2550,2975,3400,3825,7225 are the first ten multiples of 425.
You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 420 and 425, for example, are 5040, 7140, and 6800. 35700 is the least common multiple since it is the smallest.
420 and 425 have an LCM of 35700.
Least Common Multiple of 420 and 425 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 420 and 425, than apply into the LCM equation.
GCF(420,425) = 5
LCM(420,425) = ( 420 × 425) / 5
LCM(420,425) = 178500 / 5
LCM(420,425) = 35700
Related Least Common Multiples of 420
Related Least Common Multiples of 425
Frequently Asked Questions on LCM of 420 and 425
1. What is the LCM of 420 and 425?
The LCM of 420 and 425 is 35700.
2. How to find the lowest common multiple of 420 and 425?
To find the lowest common multiple of 420 and 425, we have to get the multip;es of both numbers and identify the least common multiple in them which is 35700.
3. What are the Factors of 420?
Answer: Factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420. There are 24 integers that are factors of 420. The greatest factor of 420 is 420.
4. What are the Factors of 425?
Answer: Factors of 425 are 1, 5, 17, 25, 85, 425. There are 6 integers that are factors of 425. The greatest factor of 425 is 425.
5. How to Find the LCM of 420 and 425?Answer:
Least Common Multiple of 420 and 425 = 35700
Step 1: Find the prime factorization of 420
420 = 2 x 2 x 3 x 5 x 7
Step 2: Find the prime factorization of 425
425 = 5 x 5 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35700 = 2 x 2 x 3 x 5 x 5 x 7 x 17
Step 4: Therefore, the least common multiple of 420 and 425 is 35700.