Least Common Multiple of 479/826, 446/921, 704/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 479/826, 446/921, 704/631 quickly i.e. 75199168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 479/826, 446/921, 704/631 is 75199168.

LCM(479/826, 446/921, 704/631) = 75199168

LCM of 479/826, 446/921, 704/631

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 479/826,446/921,704/631

Given numbers are 479/826,446/921,704/631

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 479,446,704

Least Common Multiple of Numerators i.e. LCM of 479,446,704 is 75199168.

GCF of Denominators means GCF of 826,921,631 as per the given fractions.

GCF of 826,921,631 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 479,446,704

LCM of Fractions 479/826,446/921,704/631 is 75199168

2 479, 446, 704
479, 223, 352

∴ So the LCM of the given numbers is 2 x 479 x 223 x 352 = 75199168

Least Common Multiple of 479,446,704 with GCF Formula

Least Common Multiple of 479,446,704 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 479,446,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,446,704) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(479,446,704) x common factors =1 x 2 = 2

LCM(479,446,704) = ( 479 × 446 × 704 ) / 2

LCM(479,446,704) = 150398336 / 2

LCM(479,446,704) = 75199168


Lets's calculate GCF of 826,921,631

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75199168/1

Therefore the LCM of Fractions 479/826,446/921,704/631 is 75199168

Greatest Common Factor of 826,921,631 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,921,631 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Greatest Common Factor

We found the factors 826,921,631 . The biggest common factor number is the GCF number.
So the greatest common factor 826,921,631 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 479/826, 446/921, 704/631

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 479/826, 446/921, 704/631?

Answer: LCM of Numerators as per given numbers 479/826, 446/921, 704/631 is

LCM of Numerators i.e. for 479,446,704 is 75199168

GCF of denominators i.e. for 826,921,631 is 1.

Thus, LCM of Fractions is 75199168.Finally, LCM of Fractions for 479/826, 446/921, 704/631 is 75199168.