Least Common Multiple of 87, 84, 836, 209

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, 84, 836, 209 i.e. 509124 smallest integer divisible by all numbers.

Least common multiple (LCM) of 87, 84, 836, 209 is 509124.

LCM(87, 84, 836, 209) = 509124

LCM of 87, 84, 836, 209

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

LCM of:

Least Common Multiple of 87,84,836,209

Least Common Multiple (LCM) of 87,84,836,209 is 509124

2 87, 84, 836, 209
2 87, 42, 418, 209
3 87, 21, 209, 209
11 29, 7, 209, 209
19 29, 7, 19, 19
29, 7, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 19 x 29 x 7 x 1 x 1 = 509124

Least Common Multiple of 87,84,836,209 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 87,84,836,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,84,836,209) = 1

common factors(in case of two or more numbers have common factors) = 2508

GCF(87,84,836,209) x common factors =1 x 2508 = 2508

LCM(87,84,836,209) = ( 87 × 84 × 836 × 209 ) / 2508

LCM(87,84,836,209) = 1276882992 / 2508

LCM(87,84,836,209) = 509124

∴ Least Common Multiple of 87,84,836,209 is 509124

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 87, 84, 836, 209

1. What is the LCM of 87, 84, 836, 209?

Answer: LCM of 87, 84, 836, 209 is 509124.

2. What are the Factors of 509124?

Answer: Factors of 509124 are . There are integers that are factors of 509124

3. How to Find the LCM of 87, 84, 836, 209 ?

Least Common Multiple of 87, 84, 836, 209.

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, 84, 836, 209) = 2 x 2 x 3 x 7 x 11 x 19 x 29 = 509124.