Least Common Multiple of 72/141, 31/698, 877/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/141, 31/698, 877/736 quickly i.e. 1957464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/141, 31/698, 877/736 is 1957464.

LCM(72/141, 31/698, 877/736) = 1957464

LCM of 72/141, 31/698, 877/736

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 72/141,31/698,877/736

Given numbers are 72/141,31/698,877/736

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 72,31,877

Least Common Multiple of Numerators i.e. LCM of 72,31,877 is 1957464.

GCF of Denominators means GCF of 141,698,736 as per the given fractions.

GCF of 141,698,736 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,31,877

LCM of Fractions 72/141,31/698,877/736 is 1957464

Given numbers has no common factors except 1. So, there LCM is their product i.e 1957464

Least Common Multiple of 72,31,877 with GCF Formula

Least Common Multiple of 72,31,877 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 72,31,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,31,877) = 1

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

GCF(72,31,877) x common factors =1 x 1 = 1

LCM(72,31,877) = ( 72 × 31 × 877 ) / 1

LCM(72,31,877) = 1957464 / 1

LCM(72,31,877) = 1957464


Lets's calculate GCF of 141,698,736

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1957464/1

Therefore the LCM of Fractions 72/141,31/698,877/736 is 1957464

Greatest Common Factor of 141,698,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 141,698,736 By Matching Biggest Common Factor Method

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 141,698,736 . The biggest common factor number is the GCF number.
So the greatest common factor 141,698,736 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 72/141, 31/698, 877/736

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 72/141, 31/698, 877/736?

Answer: LCM of Numerators as per given numbers 72/141, 31/698, 877/736 is

LCM of Numerators i.e. for 72,31,877 is 1957464

GCF of denominators i.e. for 141,698,736 is 1.

Thus, LCM of Fractions is 1957464.Finally, LCM of Fractions for 72/141, 31/698, 877/736 is 1957464.