Least Common Multiple of 1458/667, 1491/4676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1458/667, 1491/4676 quickly i.e. 724626 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1458/667, 1491/4676 is 724626.

LCM(1458/667, 1491/4676) = 724626

LCM of 1458/667, 1491/4676

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 1458/667,1491/4676

Given numbers are 1458/667,1491/4676

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 1458,1491

Least Common Multiple of Numerators i.e. LCM of 1458,1491 is 724626.

GCF of Denominators means GCF of 667,4676 as per the given fractions.

GCF of 667,4676 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1458,1491

LCM of Fractions 1458/667,1491/4676 is 724626

3 1458, 1491
486, 497

∴ So the LCM of the given numbers is 3 x 486 x 497 = 724626

Least Common Multiple of 1458,1491 with GCF Formula

Least Common Multiple of 1458,1491 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 1458,1491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1458,1491) = 3

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

GCF(1458,1491) x common factors =3 x 1 = 3

LCM(1458,1491) = ( 1458 × 1491 ) / 3

LCM(1458,1491) = 2173878 / 3

LCM(1458,1491) = 724626


Lets's calculate GCF of 667,4676

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 724626/1

Therefore the LCM of Fractions 1458/667,1491/4676 is 724626

Greatest Common Factor of 667,4676 By Matching Biggest Common Factor Method

Greatest Common Factor of 667,4676 By Matching Biggest Common Factor Method

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 4676

List of positive integer factors of 4676 that divides 4676 without a remainder.

1,2,4,7,14,28,167,334,668,1169,2338,4676

Greatest Common Factor

We found the factors 667,4676 . The biggest common factor number is the GCF number.
So the greatest common factor 667,4676 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 1458/667, 1491/4676

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 1458/667, 1491/4676?

Answer: LCM of Numerators as per given numbers 1458/667, 1491/4676 is

LCM of Numerators i.e. for 1458,1491 is 724626

GCF of denominators i.e. for 667,4676 is 1.

Thus, LCM of Fractions is 724626.Finally, LCM of Fractions for 1458/667, 1491/4676 is 724626.