Least Common Multiple of 96/612, 1708/5745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/612, 1708/5745 quickly i.e. 13664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/612, 1708/5745 is 13664.

LCM(96/612, 1708/5745) = 13664

LCM of 96/612, 1708/5745

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 96/612,1708/5745

Given numbers are 96/612,1708/5745

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 96,1708

Least Common Multiple of Numerators i.e. LCM of 96,1708 is 40992.

GCF of Denominators means GCF of 612,5745 as per the given fractions.

GCF of 612,5745 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,1708

LCM of Fractions 96/612,1708/5745 is 13664

2 96, 1708
2 48, 854
24, 427

∴ So the LCM of the given numbers is 2 x 2 x 24 x 427 = 40992

Least Common Multiple of 96,1708 with GCF Formula

Least Common Multiple of 96,1708 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 96,1708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,1708) = 4

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

GCF(96,1708) x common factors =4 x 1 = 4

LCM(96,1708) = ( 96 × 1708 ) / 4

LCM(96,1708) = 163968 / 4

LCM(96,1708) = 40992


Lets's calculate GCF of 612,5745

3 612, 5745
204, 1915

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40992/3

Therefore the LCM of Fractions 96/612,1708/5745 is 13664

Greatest Common Factor of 612,5745 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,5745 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 5745

List of positive integer factors of 5745 that divides 5745 without a remainder.

1,3,5,15,383,1149,1915,5745

Greatest Common Factor

We found the factors 612,5745 . The biggest common factor number is the GCF number.
So the greatest common factor 612,5745 is 3.


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 96/612, 1708/5745

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 96/612, 1708/5745?

Answer: LCM of Numerators as per given numbers 96/612, 1708/5745 is

LCM of Numerators i.e. for 96,1708 is 40992

GCF of denominators i.e. for 612,5745 is 3.

Thus, LCM of Fractions is 13664.Finally, LCM of Fractions for 96/612, 1708/5745 is 13664.