Least Common Multiple of 74/82, 12/40, 23/68, 63/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/82, 12/40, 23/68, 63/168 quickly i.e. 107226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/82, 12/40, 23/68, 63/168 is 107226.

LCM(74/82, 12/40, 23/68, 63/168) = 107226

LCM of 74/82, 12/40, 23/68, 63/168

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 74/82,12/40,23/68,63/168

Given numbers are 74/82,12/40,23/68,63/168

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 74,12,23,63

Least Common Multiple of Numerators i.e. LCM of 74,12,23,63 is 214452.

GCF of Denominators means GCF of 82,40,68,168 as per the given fractions.

GCF of 82,40,68,168 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,12,23,63

LCM of Fractions 74/82,12/40,23/68,63/168 is 107226

2 74, 12, 23, 63
3 37, 6, 23, 63
37, 2, 23, 21

∴ So the LCM of the given numbers is 2 x 3 x 37 x 2 x 23 x 21 = 214452

Least Common Multiple of 74,12,23,63 with GCF Formula

Least Common Multiple of 74,12,23,63 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 74,12,23,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,12,23,63) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(74,12,23,63) x common factors =1 x 6 = 6

LCM(74,12,23,63) = ( 74 × 12 × 23 × 63 ) / 6

LCM(74,12,23,63) = 1286712 / 6

LCM(74,12,23,63) = 214452


Lets's calculate GCF of 82,40,68,168

2 82, 40, 68, 168
41, 20, 34, 84

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214452/2

Therefore the LCM of Fractions 74/82,12/40,23/68,63/168 is 107226

Greatest Common Factor of 82,40,68,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,40,68,168 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

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

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 82,40,68,168 . The biggest common factor number is the GCF number.
So the greatest common factor 82,40,68,168 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 74/82, 12/40, 23/68, 63/168

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 74/82, 12/40, 23/68, 63/168?

Answer: LCM of Numerators as per given numbers 74/82, 12/40, 23/68, 63/168 is

LCM of Numerators i.e. for 74,12,23,63 is 214452

GCF of denominators i.e. for 82,40,68,168 is 2.

Thus, LCM of Fractions is 107226.Finally, LCM of Fractions for 74/82, 12/40, 23/68, 63/168 is 107226.