Least Common Multiple of 675/746, 270/600, 471/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 675/746, 270/600, 471/963 quickly i.e. 211950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 675/746, 270/600, 471/963 is 211950.

LCM(675/746, 270/600, 471/963) = 211950

LCM of 675/746, 270/600, 471/963

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 675/746,270/600,471/963

Given numbers are 675/746,270/600,471/963

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 675,270,471

Least Common Multiple of Numerators i.e. LCM of 675,270,471 is 211950.

GCF of Denominators means GCF of 746,600,963 as per the given fractions.

GCF of 746,600,963 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 675,270,471

LCM of Fractions 675/746,270/600,471/963 is 211950

3 675, 270, 471
3 225, 90, 157
3 75, 30, 157
5 25, 10, 157
5, 2, 157

∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 x 5 x 2 x 157 = 211950

Least Common Multiple of 675,270,471 with GCF Formula

Least Common Multiple of 675,270,471 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 675,270,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,270,471) = 3

common factors(in case of two or more numbers have common factors) = 135

GCF(675,270,471) x common factors =3 x 135 = 405

LCM(675,270,471) = ( 675 × 270 × 471 ) / 405

LCM(675,270,471) = 85839750 / 405

LCM(675,270,471) = 211950


Lets's calculate GCF of 746,600,963

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 211950/1

Therefore the LCM of Fractions 675/746,270/600,471/963 is 211950

Greatest Common Factor of 746,600,963 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,600,963 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors 746,600,963 . The biggest common factor number is the GCF number.
So the greatest common factor 746,600,963 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 675/746, 270/600, 471/963

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 675/746, 270/600, 471/963?

Answer: LCM of Numerators as per given numbers 675/746, 270/600, 471/963 is

LCM of Numerators i.e. for 675,270,471 is 211950

GCF of denominators i.e. for 746,600,963 is 1.

Thus, LCM of Fractions is 211950.Finally, LCM of Fractions for 675/746, 270/600, 471/963 is 211950.