Least Common Multiple of 96/560, 10/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/560, 10/672 quickly i.e. 480/112 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, 10/672 is 480/112.

LCM(96/560, 10/672) = 480/112

LCM of 96/560, 10/672

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 96/560,10/672

Given numbers are 96/560,10/672

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 96,10

Least Common Multiple of Numerators i.e. LCM of 96,10 is 480.

GCF of Denominators means GCF of 560,672 as per the given fractions.

GCF of 560,672 is 112 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,10

LCM of Fractions 96/560,10/672 is 480/112

2 96, 10
48, 5

∴ So the LCM of the given numbers is 2 x 48 x 5 = 480

Least Common Multiple of 96,10 with GCF Formula

Least Common Multiple of 96,10 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 96,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,10) = 2

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

GCF(96,10) x common factors =2 x 1 = 2

LCM(96,10) = ( 96 × 10 ) / 2

LCM(96,10) = 960 / 2

LCM(96,10) = 480


Lets's calculate GCF of 560,672

2 560, 672
2 280, 336
2 140, 168
2 70, 84
7 35, 42
5, 6

∴ 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 = 480/112

Therefore the LCM of Fractions 96/560,10/672 is 480/112

Greatest Common Factor of 560,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,672 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 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 560,672 . The biggest common factor number is the GCF number.
So the greatest common factor 560,672 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, 10/672

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, 10/672?

Answer: LCM of Numerators as per given numbers 96/560, 10/672 is

LCM of Numerators i.e. for 96,10 is 480

GCF of denominators i.e. for 560,672 is 112.

Thus, LCM of Fractions is 480/112.Finally, LCM of Fractions for 96/560, 10/672 is 480/112.