Least Common Multiple of 378, 978

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, 978 i.e. 61614 smallest integer divisible by all numbers.

Least common multiple (LCM) of 378, 978 is 61614.

LCM(378, 978) = 61614

LCM of 378, 978

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

LCM of:

Least Common Multiple of 378,978

Least Common Multiple (LCM) of 378,978 is 61614

2 378, 978
3 189, 489
63, 163

∴ So the LCM of the given numbers is 2 x 3 x 63 x 163 = 61614

Least Common Multiple of 378,978 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 378,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,978) = 6

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

GCF(378,978) x common factors =6 x 1 = 6

LCM(378,978) = ( 378 × 978 ) / 6

LCM(378,978) = 369684 / 6

LCM(378,978) = 61614

∴ Least Common Multiple of 378,978 is 61614

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 378, 978

1. What is the LCM of 378, 978?

Answer: LCM of 378, 978 is 61614.

2. What are the Factors of 61614?

Answer: Factors of 61614 are . There are integers that are factors of 61614

3. How to Find the LCM of 378, 978 ?

Least Common Multiple of 378, 978.

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, 978) = 2 x 3 x 3 x 3 x 7 x 163 = 61614.