LCM of 250 and 254
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 250 and 254 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 31750 as output. Here you can check the answer for Find the LCM of 250 and 254.
What is LCM of 250 and 254
Given Numbers are 250, 254
We can find the LCM of 250, 254 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 250 and 254
Multiples of 250 =250,500,750,1000,1250,1500,1750,2000,2250,2500,2750,3000,3250,3500,3750,4000,4250,
Multiples of 254 =254,508,762,1016,1270,1524,1778,2032,2286,2540,2794,3048,3302,3556,3810,4064,4318,
Now, get the least common multiple of 250, 254 which is 31750
So, the LCM of 250, 254 is 31750.
Least Common Multiple (LCM) of 250 and 254 with the help of Prime Factorisation
One method for determining the LCM of 250 and 254 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 250's prime factorization:
| 2 | 250 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 250 are 2,5.
250 = 21×53
And this is 254's prime factorization:
| 2 | 254 |
| 127 | 127 |
| 1 |
Prime factors of 254 are 2,127.
254 = 21×1271
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: 2,5,127
.21×53×1271 = 31750
This shows that the LCM of 250 and 254 is 31750.
How to Calculate the LCM of 250 and 254 Using Common Multiples
The first step in determining the Least Common Multiple of 250 and 254 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 250 and 254:
Lets look at the first ten multiples of these numbers, 250 and 254:
250,500,750,1000,1250,1500,1750,2000,2250,4250 are the first ten multiples of 250.
254,508,762,1016,1270,1524,1778,2032,2286,4318 are the first ten multiples of 254.
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 250 and 254, for example, are 3000, 4250, and 4064. 31750 is the least common multiple since it is the smallest.
250 and 254 have an LCM of 31750.
Least Common Multiple of 250 and 254 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 250 and 254, than apply into the LCM equation.
GCF(250,254) = 2
LCM(250,254) = ( 250 × 254) / 2
LCM(250,254) = 63500 / 2
LCM(250,254) = 31750
Related Least Common Multiples of 250
Related Least Common Multiples of 254
Frequently Asked Questions on LCM of 250 and 254
1. What is the LCM of 250 and 254?
The LCM of 250 and 254 is 31750.
2. How to find the lowest common multiple of 250 and 254?
To find the lowest common multiple of 250 and 254, we have to get the multip;es of both numbers and identify the least common multiple in them which is 31750.
3. What are the Factors of 250?
Answer: Factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250. There are 8 integers that are factors of 250. The greatest factor of 250 is 250.
4. What are the Factors of 254?
Answer: Factors of 254 are 1, 2, 127, 254. There are 4 integers that are factors of 254. The greatest factor of 254 is 254.
5. How to Find the LCM of 250 and 254?Answer:
Least Common Multiple of 250 and 254 = 31750
Step 1: Find the prime factorization of 250
250 = 2 x 5 x 5 x 5
Step 2: Find the prime factorization of 254
254 = 2 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31750 = 2 x 5 x 5 x 5 x 127
Step 4: Therefore, the least common multiple of 250 and 254 is 31750.