Least Common Multiple of 378, 7371
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 378, 7371 i.e. 14742 smallest integer divisible by all numbers.
Least common multiple (LCM) of 378, 7371 is 14742.
LCM(378, 7371) = 14742
LCM of 378, 7371
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 378, 7371 by common division method
- Least Common Multiple of 378, 7371 with GCF Formula
Least Common Multiple (LCM) of 378,7371 is 14742
| 3 | 378, 7371 |
| 3 | 126, 2457 |
| 3 | 42, 819 |
| 7 | 14, 273 |
| 2, 39 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 7 x 2 x 39 = 14742
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 378,7371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,7371) = 189
common factors(in case of two or more numbers have common factors) = 1
GCF(378,7371) x common factors =189 x 1 = 189
LCM(378,7371) = ( 378 × 7371 ) / 189
LCM(378,7371) = 2786238 / 189
LCM(378,7371) = 14742
∴ Least Common Multiple of 378,7371 is 14742
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Frequently Asked Questions on LCM of 378, 7371
1. What is the LCM of 378, 7371?
Answer: LCM of 378, 7371 is 14742.
2. What are the Factors of 14742?
Answer: Factors of 14742 are . There are integers that are factors of 14742
3. How to Find the LCM of 378, 7371 ?
Least Common Multiple of 378, 7371.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(378, 7371) = 2 x 3 x 3 x 3 x 3 x 7 x 13 = 14742.