Least Common Multiple of 55, 56, 76, 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 55, 56, 76, 209 i.e. 58520 smallest integer divisible by all numbers.

Least common multiple (LCM) of 55, 56, 76, 209 is 58520.

LCM(55, 56, 76, 209) = 58520

LCM of 55, 56, 76, 209

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

LCM of:

Least Common Multiple of 55,56,76,209

Least Common Multiple (LCM) of 55,56,76,209 is 58520

2 55, 56, 76, 209
2 55, 28, 38, 209
11 55, 14, 19, 209
19 5, 14, 19, 19
5, 14, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 11 x 19 x 5 x 14 x 1 x 1 = 58520

Least Common Multiple of 55,56,76,209 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 55,56,76,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,56,76,209) = 1

common factors(in case of two or more numbers have common factors) = 836

GCF(55,56,76,209) x common factors =1 x 836 = 836

LCM(55,56,76,209) = ( 55 × 56 × 76 × 209 ) / 836

LCM(55,56,76,209) = 48922720 / 836

LCM(55,56,76,209) = 58520

∴ Least Common Multiple of 55,56,76,209 is 58520

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 55, 56, 76, 209

1. What is the LCM of 55, 56, 76, 209?

Answer: LCM of 55, 56, 76, 209 is 58520.

2. What are the Factors of 58520?

Answer: Factors of 58520 are . There are integers that are factors of 58520

3. How to Find the LCM of 55, 56, 76, 209 ?

Least Common Multiple of 55, 56, 76, 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(55, 56, 76, 209) = 2 x 2 x 2 x 5 x 7 x 11 x 19 = 58520.