Least Common Multiple of 87, 78, 72, 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 87, 78, 72, 978 i.e. 4424472 smallest integer divisible by all numbers.

Least common multiple (LCM) of 87, 78, 72, 978 is 4424472.

LCM(87, 78, 72, 978) = 4424472

LCM of 87, 78, 72, 978

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

LCM of:

Least Common Multiple of 87,78,72,978

Least Common Multiple (LCM) of 87,78,72,978 is 4424472

2 87, 78, 72, 978
3 87, 39, 36, 489
29, 13, 12, 163

∴ So the LCM of the given numbers is 2 x 3 x 29 x 13 x 12 x 163 = 4424472

Least Common Multiple of 87,78,72,978 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 87,78,72,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,78,72,978) = 3

common factors(in case of two or more numbers have common factors) = 36

GCF(87,78,72,978) x common factors =3 x 36 = 108

LCM(87,78,72,978) = ( 87 × 78 × 72 × 978 ) / 108

LCM(87,78,72,978) = 477842976 / 108

LCM(87,78,72,978) = 4424472

∴ Least Common Multiple of 87,78,72,978 is 4424472

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 87, 78, 72, 978

1. What is the LCM of 87, 78, 72, 978?

Answer: LCM of 87, 78, 72, 978 is 4424472.

2. What are the Factors of 4424472?

Answer: Factors of 4424472 are . There are integers that are factors of 4424472

3. How to Find the LCM of 87, 78, 72, 978 ?

Least Common Multiple of 87, 78, 72, 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(87, 78, 72, 978) = 2 x 2 x 2 x 3 x 3 x 13 x 29 x 163 = 4424472.