Least Common Multiple of 51/906, 402/797, 413/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/906, 402/797, 413/704 quickly i.e. 2822442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/906, 402/797, 413/704 is 2822442.

LCM(51/906, 402/797, 413/704) = 2822442

LCM of 51/906, 402/797, 413/704

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 51/906,402/797,413/704

Given numbers are 51/906,402/797,413/704

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 51,402,413

Least Common Multiple of Numerators i.e. LCM of 51,402,413 is 2822442.

GCF of Denominators means GCF of 906,797,704 as per the given fractions.

GCF of 906,797,704 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,402,413

LCM of Fractions 51/906,402/797,413/704 is 2822442

3 51, 402, 413
17, 134, 413

∴ So the LCM of the given numbers is 3 x 17 x 134 x 413 = 2822442

Least Common Multiple of 51,402,413 with GCF Formula

Least Common Multiple of 51,402,413 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 51,402,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,402,413) = 1

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

GCF(51,402,413) x common factors =1 x 3 = 3

LCM(51,402,413) = ( 51 × 402 × 413 ) / 3

LCM(51,402,413) = 8467326 / 3

LCM(51,402,413) = 2822442


Lets's calculate GCF of 906,797,704

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2822442/1

Therefore the LCM of Fractions 51/906,402/797,413/704 is 2822442

Greatest Common Factor of 906,797,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,797,704 By Matching Biggest Common Factor Method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 906,797,704 . The biggest common factor number is the GCF number.
So the greatest common factor 906,797,704 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 51/906, 402/797, 413/704

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 51/906, 402/797, 413/704?

Answer: LCM of Numerators as per given numbers 51/906, 402/797, 413/704 is

LCM of Numerators i.e. for 51,402,413 is 2822442

GCF of denominators i.e. for 906,797,704 is 1.

Thus, LCM of Fractions is 2822442.Finally, LCM of Fractions for 51/906, 402/797, 413/704 is 2822442.