Least Common Multiple of 475/82, 464/83, 451/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 475/82, 464/83, 451/715 quickly i.e. 99400400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 475/82, 464/83, 451/715 is 99400400.

LCM(475/82, 464/83, 451/715) = 99400400

LCM of 475/82, 464/83, 451/715

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 475/82,464/83,451/715

Given numbers are 475/82,464/83,451/715

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 475,464,451

Least Common Multiple of Numerators i.e. LCM of 475,464,451 is 99400400.

GCF of Denominators means GCF of 82,83,715 as per the given fractions.

GCF of 82,83,715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 475,464,451

LCM of Fractions 475/82,464/83,451/715 is 99400400

Given numbers has no common factors except 1. So, there LCM is their product i.e 99400400

Least Common Multiple of 475,464,451 with GCF Formula

Least Common Multiple of 475,464,451 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 475,464,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,464,451) = 1

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

GCF(475,464,451) x common factors =1 x 1 = 1

LCM(475,464,451) = ( 475 × 464 × 451 ) / 1

LCM(475,464,451) = 99400400 / 1

LCM(475,464,451) = 99400400


Lets's calculate GCF of 82,83,715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99400400/1

Therefore the LCM of Fractions 475/82,464/83,451/715 is 99400400

Greatest Common Factor of 82,83,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,83,715 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

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 82,83,715 . The biggest common factor number is the GCF number.
So the greatest common factor 82,83,715 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 475/82, 464/83, 451/715

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 475/82, 464/83, 451/715?

Answer: LCM of Numerators as per given numbers 475/82, 464/83, 451/715 is

LCM of Numerators i.e. for 475,464,451 is 99400400

GCF of denominators i.e. for 82,83,715 is 1.

Thus, LCM of Fractions is 99400400.Finally, LCM of Fractions for 475/82, 464/83, 451/715 is 99400400.