Least Common Multiple of 471/945, 1659/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 471/945, 1659/972 quickly i.e. 260463/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 471/945, 1659/972 is 260463/27.

LCM(471/945, 1659/972) = 260463/27

LCM of 471/945, 1659/972

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 471/945,1659/972

Given numbers are 471/945,1659/972

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 471,1659

Least Common Multiple of Numerators i.e. LCM of 471,1659 is 260463.

GCF of Denominators means GCF of 945,972 as per the given fractions.

GCF of 945,972 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 471,1659

LCM of Fractions 471/945,1659/972 is 260463/27

3 471, 1659
157, 553

∴ So the LCM of the given numbers is 3 x 157 x 553 = 260463

Least Common Multiple of 471,1659 with GCF Formula

Least Common Multiple of 471,1659 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 471,1659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(471,1659) = 3

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

GCF(471,1659) x common factors =3 x 1 = 3

LCM(471,1659) = ( 471 × 1659 ) / 3

LCM(471,1659) = 781389 / 3

LCM(471,1659) = 260463


Lets's calculate GCF of 945,972

3 945, 972
3 315, 324
3 105, 108
35, 36

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 260463/27

Therefore the LCM of Fractions 471/945,1659/972 is 260463/27

Greatest Common Factor of 945,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,972 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 945,972 . The biggest common factor number is the GCF number.
So the greatest common factor 945,972 is 27.


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 471/945, 1659/972

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 471/945, 1659/972?

Answer: LCM of Numerators as per given numbers 471/945, 1659/972 is

LCM of Numerators i.e. for 471,1659 is 260463

GCF of denominators i.e. for 945,972 is 27.

Thus, LCM of Fractions is 260463/27.Finally, LCM of Fractions for 471/945, 1659/972 is 260463/27.