Least Common Multiple of 208/85, 732/36, 535/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 208/85, 732/36, 535/940 quickly i.e. 20364240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 208/85, 732/36, 535/940 is 20364240.

LCM(208/85, 732/36, 535/940) = 20364240

LCM of 208/85, 732/36, 535/940

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 208/85,732/36,535/940

Given numbers are 208/85,732/36,535/940

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 208,732,535

Least Common Multiple of Numerators i.e. LCM of 208,732,535 is 20364240.

GCF of Denominators means GCF of 85,36,940 as per the given fractions.

GCF of 85,36,940 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 208,732,535

LCM of Fractions 208/85,732/36,535/940 is 20364240

2 208, 732, 535
2 104, 366, 535
52, 183, 535

∴ So the LCM of the given numbers is 2 x 2 x 52 x 183 x 535 = 20364240

Least Common Multiple of 208,732,535 with GCF Formula

Least Common Multiple of 208,732,535 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 208,732,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,732,535) = 1

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

GCF(208,732,535) x common factors =1 x 4 = 4

LCM(208,732,535) = ( 208 × 732 × 535 ) / 4

LCM(208,732,535) = 81456960 / 4

LCM(208,732,535) = 20364240


Lets's calculate GCF of 85,36,940

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20364240/1

Therefore the LCM of Fractions 208/85,732/36,535/940 is 20364240

Greatest Common Factor of 85,36,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,36,940 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 85,36,940 . The biggest common factor number is the GCF number.
So the greatest common factor 85,36,940 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 208/85, 732/36, 535/940

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 208/85, 732/36, 535/940?

Answer: LCM of Numerators as per given numbers 208/85, 732/36, 535/940 is

LCM of Numerators i.e. for 208,732,535 is 20364240

GCF of denominators i.e. for 85,36,940 is 1.

Thus, LCM of Fractions is 20364240.Finally, LCM of Fractions for 208/85, 732/36, 535/940 is 20364240.