Least Common Multiple of 96/711, 66/625, 423/527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/711, 66/625, 423/527 quickly i.e. 148896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/711, 66/625, 423/527 is 148896.

LCM(96/711, 66/625, 423/527) = 148896

LCM of 96/711, 66/625, 423/527

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 96/711,66/625,423/527

Given numbers are 96/711,66/625,423/527

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 96,66,423

Least Common Multiple of Numerators i.e. LCM of 96,66,423 is 148896.

GCF of Denominators means GCF of 711,625,527 as per the given fractions.

GCF of 711,625,527 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,66,423

LCM of Fractions 96/711,66/625,423/527 is 148896

2 96, 66, 423
3 48, 33, 423
16, 11, 141

∴ So the LCM of the given numbers is 2 x 3 x 16 x 11 x 141 = 148896

Least Common Multiple of 96,66,423 with GCF Formula

Least Common Multiple of 96,66,423 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 96,66,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,66,423) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(96,66,423) x common factors =3 x 6 = 18

LCM(96,66,423) = ( 96 × 66 × 423 ) / 18

LCM(96,66,423) = 2680128 / 18

LCM(96,66,423) = 148896


Lets's calculate GCF of 711,625,527

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148896/1

Therefore the LCM of Fractions 96/711,66/625,423/527 is 148896

Greatest Common Factor of 711,625,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,625,527 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Greatest Common Factor

We found the factors 711,625,527 . The biggest common factor number is the GCF number.
So the greatest common factor 711,625,527 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 96/711, 66/625, 423/527

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 96/711, 66/625, 423/527?

Answer: LCM of Numerators as per given numbers 96/711, 66/625, 423/527 is

LCM of Numerators i.e. for 96,66,423 is 148896

GCF of denominators i.e. for 711,625,527 is 1.

Thus, LCM of Fractions is 148896.Finally, LCM of Fractions for 96/711, 66/625, 423/527 is 148896.