Least Common Multiple of 678, 6570

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 678, 6570 i.e. 742410 smallest integer divisible by all numbers.

Least common multiple (LCM) of 678, 6570 is 742410.

LCM(678, 6570) = 742410

LCM of 678, 6570

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 678,6570

Least Common Multiple (LCM) of 678,6570 is 742410

2 678, 6570
3 339, 3285
113, 1095

∴ So the LCM of the given numbers is 2 x 3 x 113 x 1095 = 742410

Least Common Multiple of 678,6570 with GCF Formula

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 678,6570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,6570) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(678,6570) x common factors =6 x 1 = 6

LCM(678,6570) = ( 678 × 6570 ) / 6

LCM(678,6570) = 4454460 / 6

LCM(678,6570) = 742410

∴ Least Common Multiple of 678,6570 is 742410

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 678, 6570

1. What is the LCM of 678, 6570?

Answer: LCM of 678, 6570 is 742410.

2. What are the Factors of 742410?

Answer: Factors of 742410 are . There are integers that are factors of 742410

3. How to Find the LCM of 678, 6570 ?

Least Common Multiple of 678, 6570.

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(678, 6570) = 2 x 3 x 3 x 5 x 73 x 113 = 742410.