Least Common Multiple of 96/537, 47/470, 964/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/537, 47/470, 964/756 quickly i.e. 1087392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/537, 47/470, 964/756 is 1087392.

LCM(96/537, 47/470, 964/756) = 1087392

LCM of 96/537, 47/470, 964/756

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 96/537,47/470,964/756

Given numbers are 96/537,47/470,964/756

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 96,47,964

Least Common Multiple of Numerators i.e. LCM of 96,47,964 is 1087392.

GCF of Denominators means GCF of 537,470,756 as per the given fractions.

GCF of 537,470,756 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,47,964

LCM of Fractions 96/537,47/470,964/756 is 1087392

2 96, 47, 964
2 48, 47, 482
24, 47, 241

∴ So the LCM of the given numbers is 2 x 2 x 24 x 47 x 241 = 1087392

Least Common Multiple of 96,47,964 with GCF Formula

Least Common Multiple of 96,47,964 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 96,47,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,47,964) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(96,47,964) x common factors =1 x 4 = 4

LCM(96,47,964) = ( 96 × 47 × 964 ) / 4

LCM(96,47,964) = 4349568 / 4

LCM(96,47,964) = 1087392


Lets's calculate GCF of 537,470,756

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1087392/1

Therefore the LCM of Fractions 96/537,47/470,964/756 is 1087392

Greatest Common Factor of 537,470,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,470,756 By Matching Biggest Common Factor Method

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 537,470,756 . The biggest common factor number is the GCF number.
So the greatest common factor 537,470,756 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 96/537, 47/470, 964/756

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 96/537, 47/470, 964/756?

Answer: LCM of Numerators as per given numbers 96/537, 47/470, 964/756 is

LCM of Numerators i.e. for 96,47,964 is 1087392

GCF of denominators i.e. for 537,470,756 is 1.

Thus, LCM of Fractions is 1087392.Finally, LCM of Fractions for 96/537, 47/470, 964/756 is 1087392.