Least Common Multiple of 1254/47, 7122/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1254/47, 7122/724 quickly i.e. 1488498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1254/47, 7122/724 is 1488498.

LCM(1254/47, 7122/724) = 1488498

LCM of 1254/47, 7122/724

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 1254/47,7122/724

Given numbers are 1254/47,7122/724

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 1254,7122

Least Common Multiple of Numerators i.e. LCM of 1254,7122 is 1488498.

GCF of Denominators means GCF of 47,724 as per the given fractions.

GCF of 47,724 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1254,7122

LCM of Fractions 1254/47,7122/724 is 1488498

2 1254, 7122
3 627, 3561
209, 1187

∴ So the LCM of the given numbers is 2 x 3 x 209 x 1187 = 1488498

Least Common Multiple of 1254,7122 with GCF Formula

Least Common Multiple of 1254,7122 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 1254,7122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1254,7122) = 6

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

GCF(1254,7122) x common factors =6 x 1 = 6

LCM(1254,7122) = ( 1254 × 7122 ) / 6

LCM(1254,7122) = 8930988 / 6

LCM(1254,7122) = 1488498


Lets's calculate GCF of 47,724

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1488498/1

Therefore the LCM of Fractions 1254/47,7122/724 is 1488498

Greatest Common Factor of 47,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,724 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 47,724 . The biggest common factor number is the GCF number.
So the greatest common factor 47,724 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 1254/47, 7122/724

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 1254/47, 7122/724?

Answer: LCM of Numerators as per given numbers 1254/47, 7122/724 is

LCM of Numerators i.e. for 1254,7122 is 1488498

GCF of denominators i.e. for 47,724 is 1.

Thus, LCM of Fractions is 1488498.Finally, LCM of Fractions for 1254/47, 7122/724 is 1488498.