Least Common Multiple of 71/56, 945/71, 972/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/56, 945/71, 972/669 quickly i.e. 2415420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/56, 945/71, 972/669 is 2415420.

LCM(71/56, 945/71, 972/669) = 2415420

LCM of 71/56, 945/71, 972/669

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 71/56,945/71,972/669

Given numbers are 71/56,945/71,972/669

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 71,945,972

Least Common Multiple of Numerators i.e. LCM of 71,945,972 is 2415420.

GCF of Denominators means GCF of 56,71,669 as per the given fractions.

GCF of 56,71,669 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,945,972

LCM of Fractions 71/56,945/71,972/669 is 2415420

3 71, 945, 972
3 71, 315, 324
3 71, 105, 108
71, 35, 36

∴ So the LCM of the given numbers is 3 x 3 x 3 x 71 x 35 x 36 = 2415420

Least Common Multiple of 71,945,972 with GCF Formula

Least Common Multiple of 71,945,972 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 71,945,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,945,972) = 1

common factors(in case of two or more numbers have common factors) = 27

GCF(71,945,972) x common factors =1 x 27 = 27

LCM(71,945,972) = ( 71 × 945 × 972 ) / 27

LCM(71,945,972) = 65216340 / 27

LCM(71,945,972) = 2415420


Lets's calculate GCF of 56,71,669

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2415420/1

Therefore the LCM of Fractions 71/56,945/71,972/669 is 2415420

Greatest Common Factor of 56,71,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,71,669 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Greatest Common Factor

We found the factors 56,71,669 . The biggest common factor number is the GCF number.
So the greatest common factor 56,71,669 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 71/56, 945/71, 972/669

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 71/56, 945/71, 972/669?

Answer: LCM of Numerators as per given numbers 71/56, 945/71, 972/669 is

LCM of Numerators i.e. for 71,945,972 is 2415420

GCF of denominators i.e. for 56,71,669 is 1.

Thus, LCM of Fractions is 2415420.Finally, LCM of Fractions for 71/56, 945/71, 972/669 is 2415420.