Least Common Multiple of 96/58, 691/68, 644/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/58, 691/68, 644/574 quickly i.e. 5340048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/58, 691/68, 644/574 is 5340048.

LCM(96/58, 691/68, 644/574) = 5340048

LCM of 96/58, 691/68, 644/574

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 96/58,691/68,644/574

Given numbers are 96/58,691/68,644/574

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 96,691,644

Least Common Multiple of Numerators i.e. LCM of 96,691,644 is 10680096.

GCF of Denominators means GCF of 58,68,574 as per the given fractions.

GCF of 58,68,574 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,691,644

LCM of Fractions 96/58,691/68,644/574 is 5340048

2 96, 691, 644
2 48, 691, 322
24, 691, 161

∴ So the LCM of the given numbers is 2 x 2 x 24 x 691 x 161 = 10680096

Least Common Multiple of 96,691,644 with GCF Formula

Least Common Multiple of 96,691,644 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 96,691,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,691,644) = 1

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

GCF(96,691,644) x common factors =1 x 4 = 4

LCM(96,691,644) = ( 96 × 691 × 644 ) / 4

LCM(96,691,644) = 42720384 / 4

LCM(96,691,644) = 10680096


Lets's calculate GCF of 58,68,574

2 58, 68, 574
29, 34, 287

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10680096/2

Therefore the LCM of Fractions 96/58,691/68,644/574 is 5340048

Greatest Common Factor of 58,68,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,68,574 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 58,68,574 . The biggest common factor number is the GCF number.
So the greatest common factor 58,68,574 is 2.


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 96/58, 691/68, 644/574

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 96/58, 691/68, 644/574?

Answer: LCM of Numerators as per given numbers 96/58, 691/68, 644/574 is

LCM of Numerators i.e. for 96,691,644 is 10680096

GCF of denominators i.e. for 58,68,574 is 2.

Thus, LCM of Fractions is 5340048.Finally, LCM of Fractions for 96/58, 691/68, 644/574 is 5340048.