Least Common Multiple of 55/121, 11/272, 249/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/121, 11/272, 249/154 quickly i.e. 13695 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/121, 11/272, 249/154 is 13695.

LCM(55/121, 11/272, 249/154) = 13695

LCM of 55/121, 11/272, 249/154

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 55/121,11/272,249/154

Given numbers are 55/121,11/272,249/154

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 55,11,249

Least Common Multiple of Numerators i.e. LCM of 55,11,249 is 13695.

GCF of Denominators means GCF of 121,272,154 as per the given fractions.

GCF of 121,272,154 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,11,249

LCM of Fractions 55/121,11/272,249/154 is 13695

11 55, 11, 249
5, 1, 249

∴ So the LCM of the given numbers is 11 x 5 x 1 x 249 = 13695

Least Common Multiple of 55,11,249 with GCF Formula

Least Common Multiple of 55,11,249 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 55,11,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,11,249) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(55,11,249) x common factors =1 x 11 = 11

LCM(55,11,249) = ( 55 × 11 × 249 ) / 11

LCM(55,11,249) = 150645 / 11

LCM(55,11,249) = 13695


Lets's calculate GCF of 121,272,154

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13695/1

Therefore the LCM of Fractions 55/121,11/272,249/154 is 13695

Greatest Common Factor of 121,272,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 121,272,154 By Matching Biggest Common Factor Method

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 121,272,154 . The biggest common factor number is the GCF number.
So the greatest common factor 121,272,154 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 55/121, 11/272, 249/154

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 55/121, 11/272, 249/154?

Answer: LCM of Numerators as per given numbers 55/121, 11/272, 249/154 is

LCM of Numerators i.e. for 55,11,249 is 13695

GCF of denominators i.e. for 121,272,154 is 1.

Thus, LCM of Fractions is 13695.Finally, LCM of Fractions for 55/121, 11/272, 249/154 is 13695.