Least Common Multiple of 96/560, 76/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/560, 76/784 quickly i.e. 1824/112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/560, 76/784 is 1824/112.

LCM(96/560, 76/784) = 1824/112

LCM of 96/560, 76/784

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 96/560,76/784

Given numbers are 96/560,76/784

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 96,76

Least Common Multiple of Numerators i.e. LCM of 96,76 is 1824.

GCF of Denominators means GCF of 560,784 as per the given fractions.

GCF of 560,784 is 112 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,76

LCM of Fractions 96/560,76/784 is 1824/112

2 96, 76
2 48, 38
24, 19

∴ So the LCM of the given numbers is 2 x 2 x 24 x 19 = 1824

Least Common Multiple of 96,76 with GCF Formula

Least Common Multiple of 96,76 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 96,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,76) = 4

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

GCF(96,76) x common factors =4 x 1 = 4

LCM(96,76) = ( 96 × 76 ) / 4

LCM(96,76) = 7296 / 4

LCM(96,76) = 1824


Lets's calculate GCF of 560,784

2 560, 784
2 280, 392
2 140, 196
2 70, 98
7 35, 49
5, 7

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 7 = 112

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1824/112

Therefore the LCM of Fractions 96/560,76/784 is 1824/112

Greatest Common Factor of 560,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,784 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 560,784 . The biggest common factor number is the GCF number.
So the greatest common factor 560,784 is 112.


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 96/560, 76/784

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 96/560, 76/784?

Answer: LCM of Numerators as per given numbers 96/560, 76/784 is

LCM of Numerators i.e. for 96,76 is 1824

GCF of denominators i.e. for 560,784 is 112.

Thus, LCM of Fractions is 1824/112.Finally, LCM of Fractions for 96/560, 76/784 is 1824/112.