Least Common Multiple of 343, 1078
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 343, 1078 i.e. 7546 smallest integer divisible by all numbers.
Least common multiple (LCM) of 343, 1078 is 7546.
LCM(343, 1078) = 7546
LCM of 343, 1078
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 343, 1078 by common division method
- Least Common Multiple of 343, 1078 with GCF Formula
Least Common Multiple (LCM) of 343,1078 is 7546
| 7 | 343, 1078 |
| 7 | 49, 154 |
| 7, 22 |
∴ So the LCM of the given numbers is 7 x 7 x 7 x 22 = 7546
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 343,1078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,1078) = 49
common factors(in case of two or more numbers have common factors) = 1
GCF(343,1078) x common factors =49 x 1 = 49
LCM(343,1078) = ( 343 × 1078 ) / 49
LCM(343,1078) = 369754 / 49
LCM(343,1078) = 7546
∴ Least Common Multiple of 343,1078 is 7546
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Frequently Asked Questions on LCM of 343, 1078
1. What is the LCM of 343, 1078?
Answer: LCM of 343, 1078 is 7546.
2. What are the Factors of 7546?
Answer: Factors of 7546 are . There are integers that are factors of 7546
3. How to Find the LCM of 343, 1078 ?
Least Common Multiple of 343, 1078.
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(343, 1078) = 2 x 7 x 7 x 7 x 11 = 7546.