LCM of 120 and 124
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 120 and 124 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 3720 as output. Here you can check the answer for Find the LCM of 120 and 124.
What is LCM of 120 and 124
Given Numbers are 120, 124
We can find the LCM of 120, 124 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 120 and 124
Multiples of 120 =120,240,360,480,600,720,840,960,1080,1200,1320,1440,1560,1680,1800,1920,2040,
Multiples of 124 =124,248,372,496,620,744,868,992,1116,1240,1364,1488,1612,1736,1860,1984,2108,
Now, get the least common multiple of 120, 124 which is 3720
So, the LCM of 120, 124 is 3720.
Least Common Multiple (LCM) of 120 and 124 with the help of Prime Factorisation
One method for determining the LCM of 120 and 124 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 120's prime factorization:
| 2 | 120 |
| 2 | 60 |
| 2 | 30 |
| 3 | 15 |
| 5 | 5 |
| 1 |
Prime factors of 120 are 2, 3,5.
120 = 23×31×51
And this is 124's prime factorization:
| 2 | 124 |
| 2 | 62 |
| 31 | 31 |
| 1 |
Prime factors of 124 are 2,31.
124 = 22×311
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, 3,5,31
.23×31×51×311 = 3720
This shows that the LCM of 120 and 124 is 3720.
How to Calculate the LCM of 120 and 124 Using Common Multiples
The first step in determining the Least Common Multiple of 120 and 124 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 120 and 124:
Lets look at the first ten multiples of these numbers, 120 and 124:
120,240,360,480,600,720,840,960,1080,2040 are the first ten multiples of 120.
124,248,372,496,620,744,868,992,1116,2108 are the first ten multiples of 124.
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 120 and 124, for example, are 1440, 2040, and 1984. 3720 is the least common multiple since it is the smallest.
120 and 124 have an LCM of 3720.
Least Common Multiple of 120 and 124 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 120 and 124, than apply into the LCM equation.
GCF(120,124) = 4
LCM(120,124) = ( 120 × 124) / 4
LCM(120,124) = 14880 / 4
LCM(120,124) = 3720
Related Least Common Multiples of 120
Related Least Common Multiples of 124
Frequently Asked Questions on LCM of 120 and 124
1. What is the LCM of 120 and 124?
The LCM of 120 and 124 is 3720.
2. How to find the lowest common multiple of 120 and 124?
To find the lowest common multiple of 120 and 124, we have to get the multip;es of both numbers and identify the least common multiple in them which is 3720.
3. What are the Factors of 120?
Answer: Factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120. There are 16 integers that are factors of 120. The greatest factor of 120 is 120.
4. What are the Factors of 124?
Answer: Factors of 124 are 1, 2, 4, 31, 62, 124. There are 6 integers that are factors of 124. The greatest factor of 124 is 124.
5. How to Find the LCM of 120 and 124?Answer:
Least Common Multiple of 120 and 124 = 3720
Step 1: Find the prime factorization of 120
120 = 2 x 2 x 2 x 3 x 5
Step 2: Find the prime factorization of 124
124 = 2 x 2 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3720 = 2 x 2 x 2 x 3 x 5 x 31
Step 4: Therefore, the least common multiple of 120 and 124 is 3720.