Least Common Multiple of 473/91, 289/98, 524/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 473/91, 289/98, 524/715 quickly i.e. 71629228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 473/91, 289/98, 524/715 is 71629228.

LCM(473/91, 289/98, 524/715) = 71629228

LCM of 473/91, 289/98, 524/715

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 473/91,289/98,524/715

Given numbers are 473/91,289/98,524/715

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 473,289,524

Least Common Multiple of Numerators i.e. LCM of 473,289,524 is 71629228.

GCF of Denominators means GCF of 91,98,715 as per the given fractions.

GCF of 91,98,715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 473,289,524

LCM of Fractions 473/91,289/98,524/715 is 71629228

Given numbers has no common factors except 1. So, there LCM is their product i.e 71629228

Least Common Multiple of 473,289,524 with GCF Formula

Least Common Multiple of 473,289,524 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 473,289,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,289,524) = 1

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

GCF(473,289,524) x common factors =1 x 1 = 1

LCM(473,289,524) = ( 473 × 289 × 524 ) / 1

LCM(473,289,524) = 71629228 / 1

LCM(473,289,524) = 71629228


Lets's calculate GCF of 91,98,715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71629228/1

Therefore the LCM of Fractions 473/91,289/98,524/715 is 71629228

Greatest Common Factor of 91,98,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,98,715 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 91,98,715 . The biggest common factor number is the GCF number.
So the greatest common factor 91,98,715 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 473/91, 289/98, 524/715

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 473/91, 289/98, 524/715?

Answer: LCM of Numerators as per given numbers 473/91, 289/98, 524/715 is

LCM of Numerators i.e. for 473,289,524 is 71629228

GCF of denominators i.e. for 91,98,715 is 1.

Thus, LCM of Fractions is 71629228.Finally, LCM of Fractions for 473/91, 289/98, 524/715 is 71629228.