Least Common Multiple of 46/62, 82/18, 26/80, 79/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/62, 82/18, 26/80, 79/172 quickly i.e. 968461 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/62, 82/18, 26/80, 79/172 is 968461.

LCM(46/62, 82/18, 26/80, 79/172) = 968461

LCM of 46/62, 82/18, 26/80, 79/172

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 46/62,82/18,26/80,79/172

Given numbers are 46/62,82/18,26/80,79/172

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 46,82,26,79

Least Common Multiple of Numerators i.e. LCM of 46,82,26,79 is 1936922.

GCF of Denominators means GCF of 62,18,80,172 as per the given fractions.

GCF of 62,18,80,172 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,82,26,79

LCM of Fractions 46/62,82/18,26/80,79/172 is 968461

2 46, 82, 26, 79
23, 41, 13, 79

∴ So the LCM of the given numbers is 2 x 23 x 41 x 13 x 79 = 1936922

Least Common Multiple of 46,82,26,79 with GCF Formula

Least Common Multiple of 46,82,26,79 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 46,82,26,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,82,26,79) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(46,82,26,79) x common factors =1 x 4 = 4

LCM(46,82,26,79) = ( 46 × 82 × 26 × 79 ) / 4

LCM(46,82,26,79) = 7747688 / 4

LCM(46,82,26,79) = 1936922


Lets's calculate GCF of 62,18,80,172

2 62, 18, 80, 172
31, 9, 40, 86

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1936922/2

Therefore the LCM of Fractions 46/62,82/18,26/80,79/172 is 968461

Greatest Common Factor of 62,18,80,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,18,80,172 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 62,18,80,172 . The biggest common factor number is the GCF number.
So the greatest common factor 62,18,80,172 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 46/62, 82/18, 26/80, 79/172

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 46/62, 82/18, 26/80, 79/172?

Answer: LCM of Numerators as per given numbers 46/62, 82/18, 26/80, 79/172 is

LCM of Numerators i.e. for 46,82,26,79 is 1936922

GCF of denominators i.e. for 62,18,80,172 is 2.

Thus, LCM of Fractions is 968461.Finally, LCM of Fractions for 46/62, 82/18, 26/80, 79/172 is 968461.