Least Common Multiple of 42/656, 86/736, 212/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/656, 86/736, 212/110 quickly i.e. 95718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/656, 86/736, 212/110 is 95718.

LCM(42/656, 86/736, 212/110) = 95718

LCM of 42/656, 86/736, 212/110

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 42/656,86/736,212/110

Given numbers are 42/656,86/736,212/110

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 42,86,212

Least Common Multiple of Numerators i.e. LCM of 42,86,212 is 191436.

GCF of Denominators means GCF of 656,736,110 as per the given fractions.

GCF of 656,736,110 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,86,212

LCM of Fractions 42/656,86/736,212/110 is 95718

2 42, 86, 212
21, 43, 106

∴ So the LCM of the given numbers is 2 x 21 x 43 x 106 = 191436

Least Common Multiple of 42,86,212 with GCF Formula

Least Common Multiple of 42,86,212 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 42,86,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,86,212) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(42,86,212) x common factors =2 x 2 = 4

LCM(42,86,212) = ( 42 × 86 × 212 ) / 4

LCM(42,86,212) = 765744 / 4

LCM(42,86,212) = 191436


Lets's calculate GCF of 656,736,110

2 656, 736, 110
328, 368, 55

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 191436/2

Therefore the LCM of Fractions 42/656,86/736,212/110 is 95718

Greatest Common Factor of 656,736,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 656,736,110 By Matching Biggest Common Factor Method

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 656,736,110 . The biggest common factor number is the GCF number.
So the greatest common factor 656,736,110 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 42/656, 86/736, 212/110

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 42/656, 86/736, 212/110?

Answer: LCM of Numerators as per given numbers 42/656, 86/736, 212/110 is

LCM of Numerators i.e. for 42,86,212 is 191436

GCF of denominators i.e. for 656,736,110 is 2.

Thus, LCM of Fractions is 95718.Finally, LCM of Fractions for 42/656, 86/736, 212/110 is 95718.