Least Common Multiple of 296/64, 779/40, 307/49

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 296/64, 779/40, 307/49 quickly i.e. 70789288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 296/64, 779/40, 307/49 is 70789288.

LCM(296/64, 779/40, 307/49) = 70789288

LCM of 296/64, 779/40, 307/49

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 296/64,779/40,307/49

Given numbers are 296/64,779/40,307/49

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 296,779,307

Least Common Multiple of Numerators i.e. LCM of 296,779,307 is 70789288.

GCF of Denominators means GCF of 64,40,49 as per the given fractions.

GCF of 64,40,49 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 296,779,307

LCM of Fractions 296/64,779/40,307/49 is 70789288

Given numbers has no common factors except 1. So, there LCM is their product i.e 70789288

Least Common Multiple of 296,779,307 with GCF Formula

Least Common Multiple of 296,779,307 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 296,779,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,779,307) = 1

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

GCF(296,779,307) x common factors =1 x 1 = 1

LCM(296,779,307) = ( 296 × 779 × 307 ) / 1

LCM(296,779,307) = 70789288 / 1

LCM(296,779,307) = 70789288


Lets's calculate GCF of 64,40,49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70789288/1

Therefore the LCM of Fractions 296/64,779/40,307/49 is 70789288

Greatest Common Factor of 64,40,49 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,40,49 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Greatest Common Factor

We found the factors 64,40,49 . The biggest common factor number is the GCF number.
So the greatest common factor 64,40,49 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 296/64, 779/40, 307/49

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 296/64, 779/40, 307/49?

Answer: LCM of Numerators as per given numbers 296/64, 779/40, 307/49 is

LCM of Numerators i.e. for 296,779,307 is 70789288

GCF of denominators i.e. for 64,40,49 is 1.

Thus, LCM of Fractions is 70789288.Finally, LCM of Fractions for 296/64, 779/40, 307/49 is 70789288.