Least Common Multiple of 472/826, 7658/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 472/826, 7658/461 quickly i.e. 1807288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 472/826, 7658/461 is 1807288.

LCM(472/826, 7658/461) = 1807288

LCM of 472/826, 7658/461

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 472/826,7658/461

Given numbers are 472/826,7658/461

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 472,7658

Least Common Multiple of Numerators i.e. LCM of 472,7658 is 1807288.

GCF of Denominators means GCF of 826,461 as per the given fractions.

GCF of 826,461 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 472,7658

LCM of Fractions 472/826,7658/461 is 1807288

2 472, 7658
236, 3829

∴ So the LCM of the given numbers is 2 x 236 x 3829 = 1807288

Least Common Multiple of 472,7658 with GCF Formula

Least Common Multiple of 472,7658 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 472,7658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,7658) = 2

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

GCF(472,7658) x common factors =2 x 1 = 2

LCM(472,7658) = ( 472 × 7658 ) / 2

LCM(472,7658) = 3614576 / 2

LCM(472,7658) = 1807288


Lets's calculate GCF of 826,461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1807288/1

Therefore the LCM of Fractions 472/826,7658/461 is 1807288

Greatest Common Factor of 826,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,461 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 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Greatest Common Factor

We found the factors 826,461 . The biggest common factor number is the GCF number.
So the greatest common factor 826,461 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 472/826, 7658/461

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 472/826, 7658/461?

Answer: LCM of Numerators as per given numbers 472/826, 7658/461 is

LCM of Numerators i.e. for 472,7658 is 1807288

GCF of denominators i.e. for 826,461 is 1.

Thus, LCM of Fractions is 1807288.Finally, LCM of Fractions for 472/826, 7658/461 is 1807288.