Least Common Multiple of 51/569, 31/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/569, 31/916 quickly i.e. 1581 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/569, 31/916 is 1581.

LCM(51/569, 31/916) = 1581

LCM of 51/569, 31/916

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 51/569,31/916

Given numbers are 51/569,31/916

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 51,31

Least Common Multiple of Numerators i.e. LCM of 51,31 is 1581.

GCF of Denominators means GCF of 569,916 as per the given fractions.

GCF of 569,916 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,31

LCM of Fractions 51/569,31/916 is 1581

Given numbers has no common factors except 1. So, there LCM is their product i.e 1581

Least Common Multiple of 51,31 with GCF Formula

Least Common Multiple of 51,31 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 51,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,31) = 1

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

GCF(51,31) x common factors =1 x 1 = 1

LCM(51,31) = ( 51 × 31 ) / 1

LCM(51,31) = 1581 / 1

LCM(51,31) = 1581


Lets's calculate GCF of 569,916

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1581/1

Therefore the LCM of Fractions 51/569,31/916 is 1581

Greatest Common Factor of 569,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 569,916 By Matching Biggest Common Factor Method

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 569,916 . The biggest common factor number is the GCF number.
So the greatest common factor 569,916 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 51/569, 31/916

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 51/569, 31/916?

Answer: LCM of Numerators as per given numbers 51/569, 31/916 is

LCM of Numerators i.e. for 51,31 is 1581

GCF of denominators i.e. for 569,916 is 1.

Thus, LCM of Fractions is 1581.Finally, LCM of Fractions for 51/569, 31/916 is 1581.