Least Common Multiple of 87/101, 151/696, 528/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/101, 151/696, 528/594 quickly i.e. 2312112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/101, 151/696, 528/594 is 2312112.

LCM(87/101, 151/696, 528/594) = 2312112

LCM of 87/101, 151/696, 528/594

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 87/101,151/696,528/594

Given numbers are 87/101,151/696,528/594

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 87,151,528

Least Common Multiple of Numerators i.e. LCM of 87,151,528 is 2312112.

GCF of Denominators means GCF of 101,696,594 as per the given fractions.

GCF of 101,696,594 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,151,528

LCM of Fractions 87/101,151/696,528/594 is 2312112

3 87, 151, 528
29, 151, 176

∴ So the LCM of the given numbers is 3 x 29 x 151 x 176 = 2312112

Least Common Multiple of 87,151,528 with GCF Formula

Least Common Multiple of 87,151,528 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 87,151,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,151,528) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,151,528) x common factors =1 x 3 = 3

LCM(87,151,528) = ( 87 × 151 × 528 ) / 3

LCM(87,151,528) = 6936336 / 3

LCM(87,151,528) = 2312112


Lets's calculate GCF of 101,696,594

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2312112/1

Therefore the LCM of Fractions 87/101,151/696,528/594 is 2312112

Greatest Common Factor of 101,696,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 101,696,594 By Matching Biggest Common Factor Method

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors 101,696,594 . The biggest common factor number is the GCF number.
So the greatest common factor 101,696,594 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 87/101, 151/696, 528/594

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 87/101, 151/696, 528/594?

Answer: LCM of Numerators as per given numbers 87/101, 151/696, 528/594 is

LCM of Numerators i.e. for 87,151,528 is 2312112

GCF of denominators i.e. for 101,696,594 is 1.

Thus, LCM of Fractions is 2312112.Finally, LCM of Fractions for 87/101, 151/696, 528/594 is 2312112.