Least Common Multiple of 7128/473, 5624/2991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7128/473, 5624/2991 quickly i.e. 5010984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7128/473, 5624/2991 is 5010984.

LCM(7128/473, 5624/2991) = 5010984

LCM of 7128/473, 5624/2991

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 7128/473,5624/2991

Given numbers are 7128/473,5624/2991

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 7128,5624

Least Common Multiple of Numerators i.e. LCM of 7128,5624 is 5010984.

GCF of Denominators means GCF of 473,2991 as per the given fractions.

GCF of 473,2991 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7128,5624

LCM of Fractions 7128/473,5624/2991 is 5010984

2 7128, 5624
2 3564, 2812
2 1782, 1406
891, 703

∴ So the LCM of the given numbers is 2 x 2 x 2 x 891 x 703 = 5010984

Least Common Multiple of 7128,5624 with GCF Formula

Least Common Multiple of 7128,5624 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 7128,5624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7128,5624) = 8

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

GCF(7128,5624) x common factors =8 x 1 = 8

LCM(7128,5624) = ( 7128 × 5624 ) / 8

LCM(7128,5624) = 40087872 / 8

LCM(7128,5624) = 5010984


Lets's calculate GCF of 473,2991

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5010984/1

Therefore the LCM of Fractions 7128/473,5624/2991 is 5010984

Greatest Common Factor of 473,2991 By Matching Biggest Common Factor Method

Greatest Common Factor of 473,2991 By Matching Biggest Common Factor Method

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Factors of 2991

List of positive integer factors of 2991 that divides 2991 without a remainder.

1,3,997,2991

Greatest Common Factor

We found the factors 473,2991 . The biggest common factor number is the GCF number.
So the greatest common factor 473,2991 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 7128/473, 5624/2991

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 7128/473, 5624/2991?

Answer: LCM of Numerators as per given numbers 7128/473, 5624/2991 is

LCM of Numerators i.e. for 7128,5624 is 5010984

GCF of denominators i.e. for 473,2991 is 1.

Thus, LCM of Fractions is 5010984.Finally, LCM of Fractions for 7128/473, 5624/2991 is 5010984.