Least Common Multiple of 96/17, 32/37, 664/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/17, 32/37, 664/919 quickly i.e. 7968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/17, 32/37, 664/919 is 7968.

LCM(96/17, 32/37, 664/919) = 7968

LCM of 96/17, 32/37, 664/919

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 96/17,32/37,664/919

Given numbers are 96/17,32/37,664/919

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 96,32,664

Least Common Multiple of Numerators i.e. LCM of 96,32,664 is 7968.

GCF of Denominators means GCF of 17,37,919 as per the given fractions.

GCF of 17,37,919 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,32,664

LCM of Fractions 96/17,32/37,664/919 is 7968

2 96, 32, 664
2 48, 16, 332
2 24, 8, 166
2 12, 4, 83
2 6, 2, 83
3, 1, 83

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 1 x 83 = 7968

Least Common Multiple of 96,32,664 with GCF Formula

Least Common Multiple of 96,32,664 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 96,32,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,32,664) = 8

common factors(in case of two or more numbers have common factors) = 32

GCF(96,32,664) x common factors =8 x 32 = 256

LCM(96,32,664) = ( 96 × 32 × 664 ) / 256

LCM(96,32,664) = 2039808 / 256

LCM(96,32,664) = 7968


Lets's calculate GCF of 17,37,919

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7968/1

Therefore the LCM of Fractions 96/17,32/37,664/919 is 7968

Greatest Common Factor of 17,37,919 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,37,919 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Greatest Common Factor

We found the factors 17,37,919 . The biggest common factor number is the GCF number.
So the greatest common factor 17,37,919 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 96/17, 32/37, 664/919

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 96/17, 32/37, 664/919?

Answer: LCM of Numerators as per given numbers 96/17, 32/37, 664/919 is

LCM of Numerators i.e. for 96,32,664 is 7968

GCF of denominators i.e. for 17,37,919 is 1.

Thus, LCM of Fractions is 7968.Finally, LCM of Fractions for 96/17, 32/37, 664/919 is 7968.