Least Common Multiple of 71/407, 56/165, 142/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/407, 56/165, 142/717 quickly i.e. 3976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/407, 56/165, 142/717 is 3976.

LCM(71/407, 56/165, 142/717) = 3976

LCM of 71/407, 56/165, 142/717

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 71/407,56/165,142/717

Given numbers are 71/407,56/165,142/717

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 71,56,142

Least Common Multiple of Numerators i.e. LCM of 71,56,142 is 3976.

GCF of Denominators means GCF of 407,165,717 as per the given fractions.

GCF of 407,165,717 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,56,142

LCM of Fractions 71/407,56/165,142/717 is 3976

2 71, 56, 142
71 71, 28, 71
1, 28, 1

∴ So the LCM of the given numbers is 2 x 71 x 1 x 28 x 1 = 3976

Least Common Multiple of 71,56,142 with GCF Formula

Least Common Multiple of 71,56,142 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 71,56,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,56,142) = 1

common factors(in case of two or more numbers have common factors) = 142

GCF(71,56,142) x common factors =1 x 142 = 142

LCM(71,56,142) = ( 71 × 56 × 142 ) / 142

LCM(71,56,142) = 564592 / 142

LCM(71,56,142) = 3976


Lets's calculate GCF of 407,165,717

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3976/1

Therefore the LCM of Fractions 71/407,56/165,142/717 is 3976

Greatest Common Factor of 407,165,717 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,165,717 By Matching Biggest Common Factor Method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Greatest Common Factor

We found the factors 407,165,717 . The biggest common factor number is the GCF number.
So the greatest common factor 407,165,717 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 71/407, 56/165, 142/717

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 71/407, 56/165, 142/717?

Answer: LCM of Numerators as per given numbers 71/407, 56/165, 142/717 is

LCM of Numerators i.e. for 71,56,142 is 3976

GCF of denominators i.e. for 407,165,717 is 1.

Thus, LCM of Fractions is 3976.Finally, LCM of Fractions for 71/407, 56/165, 142/717 is 3976.