LCM of 370 and 378
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 370 and 378 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 69930 as output. Here you can check the answer for Find the LCM of 370 and 378.
What is LCM of 370 and 378
Given Numbers are 370, 378
We can find the LCM of 370, 378 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 370 and 378
Multiples of 370 =370,740,1110,1480,1850,2220,2590,2960,3330,3700,4070,4440,4810,5180,5550,5920,6290,
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 370, 378 which is 69930
So, the LCM of 370, 378 is 69930.
Least Common Multiple (LCM) of 370 and 378 with the help of Prime Factorisation
One method for determining the LCM of 370 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 370's prime factorization:
| 2 | 370 |
| 5 | 185 |
| 37 | 37 |
| 1 |
Prime factors of 370 are 2, 5,37.
370 = 21×51×371
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, 5,37, 3,7
.21×33×51×71×371 = 69930
This shows that the LCM of 370 and 378 is 69930.
How to Calculate the LCM of 370 and 378 Using Common Multiples
The first step in determining the Least Common Multiple of 370 and 378 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 370 and 378:
Lets look at the first ten multiples of these numbers, 370 and 378:
370,740,1110,1480,1850,2220,2590,2960,3330,6290 are the first ten multiples of 370.
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 370 and 378, for example, are 4440, 6290, and 6048. 69930 is the least common multiple since it is the smallest.
370 and 378 have an LCM of 69930.
Least Common Multiple of 370 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 370 and 378, than apply into the LCM equation.
GCF(370,378) = 2
LCM(370,378) = ( 370 × 378) / 2
LCM(370,378) = 139860 / 2
LCM(370,378) = 69930
Related Least Common Multiples of 370
Related Least Common Multiples of 378
Frequently Asked Questions on LCM of 370 and 378
1. What is the LCM of 370 and 378?
The LCM of 370 and 378 is 69930.
2. How to find the lowest common multiple of 370 and 378?
To find the lowest common multiple of 370 and 378, we have to get the multip;es of both numbers and identify the least common multiple in them which is 69930.
3. What are the Factors of 370?
Answer: Factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370. There are 8 integers that are factors of 370. The greatest factor of 370 is 370.
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 370 and 378?Answer:
Least Common Multiple of 370 and 378 = 69930
Step 1: Find the prime factorization of 370
370 = 2 x 5 x 37
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 = 69930 = 2 x 3 x 3 x 3 x 5 x 7 x 37
Step 4: Therefore, the least common multiple of 370 and 378 is 69930.