Least Common Multiple of 728/422, 6492/9471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 728/422, 6492/9471 quickly i.e. 1181544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 728/422, 6492/9471 is 1181544.

LCM(728/422, 6492/9471) = 1181544

LCM of 728/422, 6492/9471

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 728/422,6492/9471

Given numbers are 728/422,6492/9471

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 728,6492

Least Common Multiple of Numerators i.e. LCM of 728,6492 is 1181544.

GCF of Denominators means GCF of 422,9471 as per the given fractions.

GCF of 422,9471 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 728,6492

LCM of Fractions 728/422,6492/9471 is 1181544

2 728, 6492
2 364, 3246
182, 1623

∴ So the LCM of the given numbers is 2 x 2 x 182 x 1623 = 1181544

Least Common Multiple of 728,6492 with GCF Formula

Least Common Multiple of 728,6492 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 728,6492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,6492) = 4

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

GCF(728,6492) x common factors =4 x 1 = 4

LCM(728,6492) = ( 728 × 6492 ) / 4

LCM(728,6492) = 4726176 / 4

LCM(728,6492) = 1181544


Lets's calculate GCF of 422,9471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1181544/1

Therefore the LCM of Fractions 728/422,6492/9471 is 1181544

Greatest Common Factor of 422,9471 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,9471 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 9471

List of positive integer factors of 9471 that divides 9471 without a remainder.

1,3,7,11,21,33,41,77,123,231,287,451,861,1353,3157,9471

Greatest Common Factor

We found the factors 422,9471 . The biggest common factor number is the GCF number.
So the greatest common factor 422,9471 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 728/422, 6492/9471

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 728/422, 6492/9471?

Answer: LCM of Numerators as per given numbers 728/422, 6492/9471 is

LCM of Numerators i.e. for 728,6492 is 1181544

GCF of denominators i.e. for 422,9471 is 1.

Thus, LCM of Fractions is 1181544.Finally, LCM of Fractions for 728/422, 6492/9471 is 1181544.