Least Common Multiple of 456/671, 139/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 456/671, 139/749 quickly i.e. 63384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 456/671, 139/749 is 63384.

LCM(456/671, 139/749) = 63384

LCM of 456/671, 139/749

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 456/671,139/749

Given numbers are 456/671,139/749

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 456,139

Least Common Multiple of Numerators i.e. LCM of 456,139 is 63384.

GCF of Denominators means GCF of 671,749 as per the given fractions.

GCF of 671,749 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 456,139

LCM of Fractions 456/671,139/749 is 63384

Given numbers has no common factors except 1. So, there LCM is their product i.e 63384

Least Common Multiple of 456,139 with GCF Formula

Least Common Multiple of 456,139 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 456,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,139) = 1

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

GCF(456,139) x common factors =1 x 1 = 1

LCM(456,139) = ( 456 × 139 ) / 1

LCM(456,139) = 63384 / 1

LCM(456,139) = 63384


Lets's calculate GCF of 671,749

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63384/1

Therefore the LCM of Fractions 456/671,139/749 is 63384

Greatest Common Factor of 671,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 671,749 By Matching Biggest Common Factor Method

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 671,749 . The biggest common factor number is the GCF number.
So the greatest common factor 671,749 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 456/671, 139/749

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 456/671, 139/749?

Answer: LCM of Numerators as per given numbers 456/671, 139/749 is

LCM of Numerators i.e. for 456,139 is 63384

GCF of denominators i.e. for 671,749 is 1.

Thus, LCM of Fractions is 63384.Finally, LCM of Fractions for 456/671, 139/749 is 63384.