LCM of 142 and 147
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 142 and 147 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 20874 as output. Here you can check the answer for Find the LCM of 142 and 147.
What is LCM of 142 and 147
Given Numbers are 142, 147
We can find the LCM of 142, 147 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 142 and 147
Multiples of 142 =142,284,426,568,710,852,994,1136,1278,1420,1562,1704,1846,1988,2130,2272,2414,
Multiples of 147 =147,294,441,588,735,882,1029,1176,1323,1470,1617,1764,1911,2058,2205,2352,2499,
Now, get the least common multiple of 142, 147 which is 20874
So, the LCM of 142, 147 is 20874.
Least Common Multiple (LCM) of 142 and 147 with the help of Prime Factorisation
One method for determining the LCM of 142 and 147 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 142's prime factorization:
| 2 | 142 |
| 71 | 71 |
| 1 |
Prime factors of 142 are 2,71.
142 = 21×711
And this is 147's prime factorization:
| 3 | 147 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 147 are 3,7.
147 = 31×72
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: 2,71, 3,7
.21×31×72×711 = 20874
This shows that the LCM of 142 and 147 is 20874.
How to Calculate the LCM of 142 and 147 Using Common Multiples
The first step in determining the Least Common Multiple of 142 and 147 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 142 and 147:
Lets look at the first ten multiples of these numbers, 142 and 147:
142,284,426,568,710,852,994,1136,1278,2414 are the first ten multiples of 142.
147,294,441,588,735,882,1029,1176,1323,2499 are the first ten multiples of 147.
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 142 and 147, for example, are 1704, 2414, and 2352. 20874 is the least common multiple since it is the smallest.
142 and 147 have an LCM of 20874.
Least Common Multiple of 142 and 147 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 142 and 147, than apply into the LCM equation.
GCF(142,147) = 1
LCM(142,147) = ( 142 × 147) / 1
LCM(142,147) = 20874 / 1
LCM(142,147) = 20874
Related Least Common Multiples of 142
Related Least Common Multiples of 147
Frequently Asked Questions on LCM of 142 and 147
1. What is the LCM of 142 and 147?
The LCM of 142 and 147 is 20874.
2. How to find the lowest common multiple of 142 and 147?
To find the lowest common multiple of 142 and 147, we have to get the multip;es of both numbers and identify the least common multiple in them which is 20874.
3. What are the Factors of 142?
Answer: Factors of 142 are 1, 2, 71, 142. There are 4 integers that are factors of 142. The greatest factor of 142 is 142.
4. What are the Factors of 147?
Answer: Factors of 147 are 1, 3, 7, 21, 49, 147. There are 6 integers that are factors of 147. The greatest factor of 147 is 147.
5. How to Find the LCM of 142 and 147?Answer:
Least Common Multiple of 142 and 147 = 20874
Step 1: Find the prime factorization of 142
142 = 2 x 71
Step 2: Find the prime factorization of 147
147 = 3 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20874 = 2 x 3 x 7 x 7 x 71
Step 4: Therefore, the least common multiple of 142 and 147 is 20874.