LCM of 374 and 378
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 374 and 378 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 70686 as output. Here you can check the answer for Find the LCM of 374 and 378.
What is LCM of 374 and 378
Given Numbers are 374, 378
We can find the LCM of 374, 378 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 374 and 378
Multiples of 374 =374,748,1122,1496,1870,2244,2618,2992,3366,3740,4114,4488,4862,5236,5610,5984,6358,
Multiples of 378 =378,756,1134,1512,1890,2268,2646,3024,3402,3780,4158,4536,4914,5292,5670,6048,6426,
Now, get the least common multiple of 374, 378 which is 70686
So, the LCM of 374, 378 is 70686.
Least Common Multiple (LCM) of 374 and 378 with the help of Prime Factorisation
One method for determining the LCM of 374 and 378 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 374's prime factorization:
| 2 | 374 |
| 11 | 187 |
| 17 | 17 |
| 1 |
Prime factors of 374 are 2, 11,17.
374 = 21×111×171
And this is 378's prime factorization:
| 2 | 378 |
| 3 | 189 |
| 3 | 63 |
| 3 | 21 |
| 7 | 7 |
| 1 |
Prime factors of 378 are 2, 3,7.
378 = 21×33×71
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, 11,17, 3,7
.21×33×71×111×171 = 70686
This shows that the LCM of 374 and 378 is 70686.
How to Calculate the LCM of 374 and 378 Using Common Multiples
The first step in determining the Least Common Multiple of 374 and 378 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 374 and 378:
Lets look at the first ten multiples of these numbers, 374 and 378:
374,748,1122,1496,1870,2244,2618,2992,3366,6358 are the first ten multiples of 374.
378,756,1134,1512,1890,2268,2646,3024,3402,6426 are the first ten multiples of 378.
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 374 and 378, for example, are 4488, 6358, and 6048. 70686 is the least common multiple since it is the smallest.
374 and 378 have an LCM of 70686.
Least Common Multiple of 374 and 378 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 374 and 378, than apply into the LCM equation.
GCF(374,378) = 2
LCM(374,378) = ( 374 × 378) / 2
LCM(374,378) = 141372 / 2
LCM(374,378) = 70686
Related Least Common Multiples of 374
Related Least Common Multiples of 378
Frequently Asked Questions on LCM of 374 and 378
1. What is the LCM of 374 and 378?
The LCM of 374 and 378 is 70686.
2. How to find the lowest common multiple of 374 and 378?
To find the lowest common multiple of 374 and 378, we have to get the multip;es of both numbers and identify the least common multiple in them which is 70686.
3. What are the Factors of 374?
Answer: Factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374. There are 8 integers that are factors of 374. The greatest factor of 374 is 374.
4. What are the Factors of 378?
Answer: Factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378. There are 16 integers that are factors of 378. The greatest factor of 378 is 378.
5. How to Find the LCM of 374 and 378?Answer:
Least Common Multiple of 374 and 378 = 70686
Step 1: Find the prime factorization of 374
374 = 2 x 11 x 17
Step 2: Find the prime factorization of 378
378 = 2 x 3 x 3 x 3 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 = 70686 = 2 x 3 x 3 x 3 x 7 x 11 x 17
Step 4: Therefore, the least common multiple of 374 and 378 is 70686.