Least Common Multiple of 72/64, 32/602, 162/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/64, 32/602, 162/280 quickly i.e. 1296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/64, 32/602, 162/280 is 1296.

LCM(72/64, 32/602, 162/280) = 1296

LCM of 72/64, 32/602, 162/280

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 72/64,32/602,162/280

Given numbers are 72/64,32/602,162/280

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 72,32,162

Least Common Multiple of Numerators i.e. LCM of 72,32,162 is 2592.

GCF of Denominators means GCF of 64,602,280 as per the given fractions.

GCF of 64,602,280 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,32,162

LCM of Fractions 72/64,32/602,162/280 is 1296

2 72, 32, 162
2 36, 16, 81
2 18, 8, 81
3 9, 4, 81
3 3, 4, 27
1, 4, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 4 x 9 = 2592

Least Common Multiple of 72,32,162 with GCF Formula

Least Common Multiple of 72,32,162 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 72,32,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,32,162) = 2

common factors(in case of two or more numbers have common factors) = 72

GCF(72,32,162) x common factors =2 x 72 = 144

LCM(72,32,162) = ( 72 × 32 × 162 ) / 144

LCM(72,32,162) = 373248 / 144

LCM(72,32,162) = 2592


Lets's calculate GCF of 64,602,280

2 64, 602, 280
32, 301, 140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2592/2

Therefore the LCM of Fractions 72/64,32/602,162/280 is 1296

Greatest Common Factor of 64,602,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,602,280 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 64,602,280 . The biggest common factor number is the GCF number.
So the greatest common factor 64,602,280 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 72/64, 32/602, 162/280

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 72/64, 32/602, 162/280?

Answer: LCM of Numerators as per given numbers 72/64, 32/602, 162/280 is

LCM of Numerators i.e. for 72,32,162 is 2592

GCF of denominators i.e. for 64,602,280 is 2.

Thus, LCM of Fractions is 1296.Finally, LCM of Fractions for 72/64, 32/602, 162/280 is 1296.