Least Common Multiple of 96/145, 11/739, 934/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/145, 11/739, 934/724 quickly i.e. 493152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/145, 11/739, 934/724 is 493152.

LCM(96/145, 11/739, 934/724) = 493152

LCM of 96/145, 11/739, 934/724

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 96/145,11/739,934/724

Given numbers are 96/145,11/739,934/724

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 96,11,934

Least Common Multiple of Numerators i.e. LCM of 96,11,934 is 493152.

GCF of Denominators means GCF of 145,739,724 as per the given fractions.

GCF of 145,739,724 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,11,934

LCM of Fractions 96/145,11/739,934/724 is 493152

2 96, 11, 934
48, 11, 467

∴ So the LCM of the given numbers is 2 x 48 x 11 x 467 = 493152

Least Common Multiple of 96,11,934 with GCF Formula

Least Common Multiple of 96,11,934 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 96,11,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,11,934) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(96,11,934) x common factors =1 x 2 = 2

LCM(96,11,934) = ( 96 × 11 × 934 ) / 2

LCM(96,11,934) = 986304 / 2

LCM(96,11,934) = 493152


Lets's calculate GCF of 145,739,724

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 493152/1

Therefore the LCM of Fractions 96/145,11/739,934/724 is 493152

Greatest Common Factor of 145,739,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,739,724 By Matching Biggest Common Factor Method

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 145,739,724 . The biggest common factor number is the GCF number.
So the greatest common factor 145,739,724 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 96/145, 11/739, 934/724

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 96/145, 11/739, 934/724?

Answer: LCM of Numerators as per given numbers 96/145, 11/739, 934/724 is

LCM of Numerators i.e. for 96,11,934 is 493152

GCF of denominators i.e. for 145,739,724 is 1.

Thus, LCM of Fractions is 493152.Finally, LCM of Fractions for 96/145, 11/739, 934/724 is 493152.