Least Common Multiple of 665/42, 731/14, 413/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 665/42, 731/14, 413/716 quickly i.e. 28680785/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 665/42, 731/14, 413/716 is 28680785/2.

LCM(665/42, 731/14, 413/716) = 28680785/2

LCM of 665/42, 731/14, 413/716

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 665/42,731/14,413/716

Given numbers are 665/42,731/14,413/716

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 665,731,413

Least Common Multiple of Numerators i.e. LCM of 665,731,413 is 28680785.

GCF of Denominators means GCF of 42,14,716 as per the given fractions.

GCF of 42,14,716 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 665,731,413

LCM of Fractions 665/42,731/14,413/716 is 28680785/2

7 665, 731, 413
95, 731, 59

∴ So the LCM of the given numbers is 7 x 95 x 731 x 59 = 28680785

Least Common Multiple of 665,731,413 with GCF Formula

Least Common Multiple of 665,731,413 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 665,731,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(665,731,413) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(665,731,413) x common factors =1 x 7 = 7

LCM(665,731,413) = ( 665 × 731 × 413 ) / 7

LCM(665,731,413) = 200765495 / 7

LCM(665,731,413) = 28680785


Lets's calculate GCF of 42,14,716

2 42, 14, 716
21, 7, 358

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28680785/2

Therefore the LCM of Fractions 665/42,731/14,413/716 is 28680785/2

Greatest Common Factor of 42,14,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,14,716 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 42,14,716 . The biggest common factor number is the GCF number.
So the greatest common factor 42,14,716 is 2.


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 665/42, 731/14, 413/716

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 665/42, 731/14, 413/716?

Answer: LCM of Numerators as per given numbers 665/42, 731/14, 413/716 is

LCM of Numerators i.e. for 665,731,413 is 28680785

GCF of denominators i.e. for 42,14,716 is 2.

Thus, LCM of Fractions is 28680785/2.Finally, LCM of Fractions for 665/42, 731/14, 413/716 is 28680785/2.