Least Common Multiple of 36/684, 10/959, 535/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/684, 10/959, 535/772 quickly i.e. 19260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/684, 10/959, 535/772 is 19260.

LCM(36/684, 10/959, 535/772) = 19260

LCM of 36/684, 10/959, 535/772

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 36/684,10/959,535/772

Given numbers are 36/684,10/959,535/772

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 36,10,535

Least Common Multiple of Numerators i.e. LCM of 36,10,535 is 19260.

GCF of Denominators means GCF of 684,959,772 as per the given fractions.

GCF of 684,959,772 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,10,535

LCM of Fractions 36/684,10/959,535/772 is 19260

2 36, 10, 535
5 18, 5, 535
18, 1, 107

∴ So the LCM of the given numbers is 2 x 5 x 18 x 1 x 107 = 19260

Least Common Multiple of 36,10,535 with GCF Formula

Least Common Multiple of 36,10,535 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 36,10,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,10,535) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(36,10,535) x common factors =1 x 10 = 10

LCM(36,10,535) = ( 36 × 10 × 535 ) / 10

LCM(36,10,535) = 192600 / 10

LCM(36,10,535) = 19260


Lets's calculate GCF of 684,959,772

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19260/1

Therefore the LCM of Fractions 36/684,10/959,535/772 is 19260

Greatest Common Factor of 684,959,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,959,772 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 684,959,772 . The biggest common factor number is the GCF number.
So the greatest common factor 684,959,772 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 36/684, 10/959, 535/772

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 36/684, 10/959, 535/772?

Answer: LCM of Numerators as per given numbers 36/684, 10/959, 535/772 is

LCM of Numerators i.e. for 36,10,535 is 19260

GCF of denominators i.e. for 684,959,772 is 1.

Thus, LCM of Fractions is 19260.Finally, LCM of Fractions for 36/684, 10/959, 535/772 is 19260.