Least Common Multiple of 76/35, 101/19, 724/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/35, 101/19, 724/657 quickly i.e. 1389356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/35, 101/19, 724/657 is 1389356.

LCM(76/35, 101/19, 724/657) = 1389356

LCM of 76/35, 101/19, 724/657

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 76/35,101/19,724/657

Given numbers are 76/35,101/19,724/657

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 76,101,724

Least Common Multiple of Numerators i.e. LCM of 76,101,724 is 1389356.

GCF of Denominators means GCF of 35,19,657 as per the given fractions.

GCF of 35,19,657 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,101,724

LCM of Fractions 76/35,101/19,724/657 is 1389356

2 76, 101, 724
2 38, 101, 362
19, 101, 181

∴ So the LCM of the given numbers is 2 x 2 x 19 x 101 x 181 = 1389356

Least Common Multiple of 76,101,724 with GCF Formula

Least Common Multiple of 76,101,724 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 76,101,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,101,724) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,101,724) x common factors =1 x 4 = 4

LCM(76,101,724) = ( 76 × 101 × 724 ) / 4

LCM(76,101,724) = 5557424 / 4

LCM(76,101,724) = 1389356


Lets's calculate GCF of 35,19,657

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1389356/1

Therefore the LCM of Fractions 76/35,101/19,724/657 is 1389356

Greatest Common Factor of 35,19,657 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,19,657 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Greatest Common Factor

We found the factors 35,19,657 . The biggest common factor number is the GCF number.
So the greatest common factor 35,19,657 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 76/35, 101/19, 724/657

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 76/35, 101/19, 724/657?

Answer: LCM of Numerators as per given numbers 76/35, 101/19, 724/657 is

LCM of Numerators i.e. for 76,101,724 is 1389356

GCF of denominators i.e. for 35,19,657 is 1.

Thus, LCM of Fractions is 1389356.Finally, LCM of Fractions for 76/35, 101/19, 724/657 is 1389356.