Least Common Multiple of 51/85, 695/32, 809/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 51/85, 695/32, 809/125 quickly i.e. 28675005 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/85, 695/32, 809/125 is 28675005.

LCM(51/85, 695/32, 809/125) = 28675005

LCM of 51/85, 695/32, 809/125

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 51/85,695/32,809/125

Given numbers are 51/85,695/32,809/125

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 51,695,809

Least Common Multiple of Numerators i.e. LCM of 51,695,809 is 28675005.

GCF of Denominators means GCF of 85,32,125 as per the given fractions.

GCF of 85,32,125 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,695,809

LCM of Fractions 51/85,695/32,809/125 is 28675005

Given numbers has no common factors except 1. So, there LCM is their product i.e 28675005

Least Common Multiple of 51,695,809 with GCF Formula

Least Common Multiple of 51,695,809 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 51,695,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,695,809) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(51,695,809) x common factors =1 x 1 = 1

LCM(51,695,809) = ( 51 × 695 × 809 ) / 1

LCM(51,695,809) = 28675005 / 1

LCM(51,695,809) = 28675005


Lets's calculate GCF of 85,32,125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28675005/1

Therefore the LCM of Fractions 51/85,695/32,809/125 is 28675005

Greatest Common Factor of 85,32,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,32,125 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 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 85,32,125 . The biggest common factor number is the GCF number.
So the greatest common factor 85,32,125 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 51/85, 695/32, 809/125

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 51/85, 695/32, 809/125?

Answer: LCM of Numerators as per given numbers 51/85, 695/32, 809/125 is

LCM of Numerators i.e. for 51,695,809 is 28675005

GCF of denominators i.e. for 85,32,125 is 1.

Thus, LCM of Fractions is 28675005.Finally, LCM of Fractions for 51/85, 695/32, 809/125 is 28675005.