Least Common Multiple of 55/72, 657/73, 119/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/72, 657/73, 119/168 quickly i.e. 4300065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/72, 657/73, 119/168 is 4300065.

LCM(55/72, 657/73, 119/168) = 4300065

LCM of 55/72, 657/73, 119/168

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 55/72,657/73,119/168

Given numbers are 55/72,657/73,119/168

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 55,657,119

Least Common Multiple of Numerators i.e. LCM of 55,657,119 is 4300065.

GCF of Denominators means GCF of 72,73,168 as per the given fractions.

GCF of 72,73,168 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,657,119

LCM of Fractions 55/72,657/73,119/168 is 4300065

Given numbers has no common factors except 1. So, there LCM is their product i.e 4300065

Least Common Multiple of 55,657,119 with GCF Formula

Least Common Multiple of 55,657,119 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 55,657,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,657,119) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(55,657,119) x common factors =1 x 1 = 1

LCM(55,657,119) = ( 55 × 657 × 119 ) / 1

LCM(55,657,119) = 4300065 / 1

LCM(55,657,119) = 4300065


Lets's calculate GCF of 72,73,168

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4300065/1

Therefore the LCM of Fractions 55/72,657/73,119/168 is 4300065

Greatest Common Factor of 72,73,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,73,168 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 72,73,168 . The biggest common factor number is the GCF number.
So the greatest common factor 72,73,168 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 55/72, 657/73, 119/168

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 55/72, 657/73, 119/168?

Answer: LCM of Numerators as per given numbers 55/72, 657/73, 119/168 is

LCM of Numerators i.e. for 55,657,119 is 4300065

GCF of denominators i.e. for 72,73,168 is 1.

Thus, LCM of Fractions is 4300065.Finally, LCM of Fractions for 55/72, 657/73, 119/168 is 4300065.