Least Common Multiple of 12, 90, 36, 986

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 12, 90, 36, 986 i.e. 88740 smallest integer divisible by all numbers.

Least common multiple (LCM) of 12, 90, 36, 986 is 88740.

LCM(12, 90, 36, 986) = 88740

LCM of 12, 90, 36, 986

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

LCM of:

Least Common Multiple of 12,90,36,986

Least Common Multiple (LCM) of 12,90,36,986 is 88740

2 12, 90, 36, 986
2 6, 45, 18, 493
3 3, 45, 9, 493
3 1, 15, 3, 493
1, 5, 1, 493

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 5 x 1 x 493 = 88740

Least Common Multiple of 12,90,36,986 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 12,90,36,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,90,36,986) = 2

common factors(in case of two or more numbers have common factors) = 216

GCF(12,90,36,986) x common factors =2 x 216 = 432

LCM(12,90,36,986) = ( 12 × 90 × 36 × 986 ) / 432

LCM(12,90,36,986) = 38335680 / 432

LCM(12,90,36,986) = 88740

∴ Least Common Multiple of 12,90,36,986 is 88740

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 12, 90, 36, 986

1. What is the LCM of 12, 90, 36, 986?

Answer: LCM of 12, 90, 36, 986 is 88740.

2. What are the Factors of 88740?

Answer: Factors of 88740 are . There are integers that are factors of 88740

3. How to Find the LCM of 12, 90, 36, 986 ?

Least Common Multiple of 12, 90, 36, 986.

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(12, 90, 36, 986) = 2 x 2 x 3 x 3 x 5 x 17 x 29 = 88740.