Least Common Multiple of 55, 71, 77, 355

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, 71, 77, 355 i.e. 27335 smallest integer divisible by all numbers.

Least common multiple (LCM) of 55, 71, 77, 355 is 27335.

LCM(55, 71, 77, 355) = 27335

LCM of 55, 71, 77, 355

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

LCM of:

Least Common Multiple of 55,71,77,355

Least Common Multiple (LCM) of 55,71,77,355 is 27335

5 55, 71, 77, 355
11 11, 71, 77, 71
71 1, 71, 7, 71
1, 1, 7, 1

∴ So the LCM of the given numbers is 5 x 11 x 71 x 1 x 1 x 7 x 1 = 27335

Least Common Multiple of 55,71,77,355 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 55,71,77,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,71,77,355) = 1

common factors(in case of two or more numbers have common factors) = 3905

GCF(55,71,77,355) x common factors =1 x 3905 = 3905

LCM(55,71,77,355) = ( 55 × 71 × 77 × 355 ) / 3905

LCM(55,71,77,355) = 106743175 / 3905

LCM(55,71,77,355) = 27335

∴ Least Common Multiple of 55,71,77,355 is 27335

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 55, 71, 77, 355

1. What is the LCM of 55, 71, 77, 355?

Answer: LCM of 55, 71, 77, 355 is 27335.

2. What are the Factors of 27335?

Answer: Factors of 27335 are . There are integers that are factors of 27335

3. How to Find the LCM of 55, 71, 77, 355 ?

Least Common Multiple of 55, 71, 77, 355.

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, 71, 77, 355) = 5 x 7 x 11 x 71 = 27335.