Least Common Multiple of 96/722, 41/577, 601/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/722, 41/577, 601/972 quickly i.e. 2365536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/722, 41/577, 601/972 is 2365536.

LCM(96/722, 41/577, 601/972) = 2365536

LCM of 96/722, 41/577, 601/972

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 96/722,41/577,601/972

Given numbers are 96/722,41/577,601/972

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 96,41,601

Least Common Multiple of Numerators i.e. LCM of 96,41,601 is 2365536.

GCF of Denominators means GCF of 722,577,972 as per the given fractions.

GCF of 722,577,972 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,41,601

LCM of Fractions 96/722,41/577,601/972 is 2365536

Given numbers has no common factors except 1. So, there LCM is their product i.e 2365536

Least Common Multiple of 96,41,601 with GCF Formula

Least Common Multiple of 96,41,601 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 96,41,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,41,601) = 1

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

GCF(96,41,601) x common factors =1 x 1 = 1

LCM(96,41,601) = ( 96 × 41 × 601 ) / 1

LCM(96,41,601) = 2365536 / 1

LCM(96,41,601) = 2365536


Lets's calculate GCF of 722,577,972

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2365536/1

Therefore the LCM of Fractions 96/722,41/577,601/972 is 2365536

Greatest Common Factor of 722,577,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,577,972 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 722,577,972 . The biggest common factor number is the GCF number.
So the greatest common factor 722,577,972 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 96/722, 41/577, 601/972

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 96/722, 41/577, 601/972?

Answer: LCM of Numerators as per given numbers 96/722, 41/577, 601/972 is

LCM of Numerators i.e. for 96,41,601 is 2365536

GCF of denominators i.e. for 722,577,972 is 1.

Thus, LCM of Fractions is 2365536.Finally, LCM of Fractions for 96/722, 41/577, 601/972 is 2365536.