Least Common Multiple of 477/851, 4491/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 477/851, 4491/713 quickly i.e. 238023/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 477/851, 4491/713 is 238023/23.

LCM(477/851, 4491/713) = 238023/23

LCM of 477/851, 4491/713

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 477/851,4491/713

Given numbers are 477/851,4491/713

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 477,4491

Least Common Multiple of Numerators i.e. LCM of 477,4491 is 238023.

GCF of Denominators means GCF of 851,713 as per the given fractions.

GCF of 851,713 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 477,4491

LCM of Fractions 477/851,4491/713 is 238023/23

3 477, 4491
3 159, 1497
53, 499

∴ So the LCM of the given numbers is 3 x 3 x 53 x 499 = 238023

Least Common Multiple of 477,4491 with GCF Formula

Least Common Multiple of 477,4491 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 477,4491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,4491) = 9

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

GCF(477,4491) x common factors =9 x 1 = 9

LCM(477,4491) = ( 477 × 4491 ) / 9

LCM(477,4491) = 2142207 / 9

LCM(477,4491) = 238023


Lets's calculate GCF of 851,713

23 851, 713
37, 31

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238023/23

Therefore the LCM of Fractions 477/851,4491/713 is 238023/23

Greatest Common Factor of 851,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 851,713 By Matching Biggest Common Factor Method

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 851,713 . The biggest common factor number is the GCF number.
So the greatest common factor 851,713 is 23.


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 477/851, 4491/713

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 477/851, 4491/713?

Answer: LCM of Numerators as per given numbers 477/851, 4491/713 is

LCM of Numerators i.e. for 477,4491 is 238023

GCF of denominators i.e. for 851,713 is 23.

Thus, LCM of Fractions is 238023/23.Finally, LCM of Fractions for 477/851, 4491/713 is 238023/23.