Least Common Multiple of 74/72, 84/71, 24/67, 36/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/72, 84/71, 24/67, 36/466 quickly i.e. 18648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/72, 84/71, 24/67, 36/466 is 18648.

LCM(74/72, 84/71, 24/67, 36/466) = 18648

LCM of 74/72, 84/71, 24/67, 36/466

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 74/72,84/71,24/67,36/466

Given numbers are 74/72,84/71,24/67,36/466

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 74,84,24,36

Least Common Multiple of Numerators i.e. LCM of 74,84,24,36 is 18648.

GCF of Denominators means GCF of 72,71,67,466 as per the given fractions.

GCF of 72,71,67,466 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,84,24,36

LCM of Fractions 74/72,84/71,24/67,36/466 is 18648

2 74, 84, 24, 36
2 37, 42, 12, 18
3 37, 21, 6, 9
37, 7, 2, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 37 x 7 x 2 x 3 = 18648

Least Common Multiple of 74,84,24,36 with GCF Formula

Least Common Multiple of 74,84,24,36 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 74,84,24,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,84,24,36) = 2

common factors(in case of two or more numbers have common factors) = 144

GCF(74,84,24,36) x common factors =2 x 144 = 288

LCM(74,84,24,36) = ( 74 × 84 × 24 × 36 ) / 288

LCM(74,84,24,36) = 5370624 / 288

LCM(74,84,24,36) = 18648


Lets's calculate GCF of 72,71,67,466

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18648/1

Therefore the LCM of Fractions 74/72,84/71,24/67,36/466 is 18648

Greatest Common Factor of 72,71,67,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,71,67,466 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 72,71,67,466 . The biggest common factor number is the GCF number.
So the greatest common factor 72,71,67,466 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 74/72, 84/71, 24/67, 36/466

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 74/72, 84/71, 24/67, 36/466?

Answer: LCM of Numerators as per given numbers 74/72, 84/71, 24/67, 36/466 is

LCM of Numerators i.e. for 74,84,24,36 is 18648

GCF of denominators i.e. for 72,71,67,466 is 1.

Thus, LCM of Fractions is 18648.Finally, LCM of Fractions for 74/72, 84/71, 24/67, 36/466 is 18648.