Least Common Multiple of 24/72, 522/68, 170/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/72, 522/68, 170/152 quickly i.e. 44370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/72, 522/68, 170/152 is 44370.

LCM(24/72, 522/68, 170/152) = 44370

LCM of 24/72, 522/68, 170/152

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 24/72,522/68,170/152

Given numbers are 24/72,522/68,170/152

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 24,522,170

Least Common Multiple of Numerators i.e. LCM of 24,522,170 is 177480.

GCF of Denominators means GCF of 72,68,152 as per the given fractions.

GCF of 72,68,152 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,522,170

LCM of Fractions 24/72,522/68,170/152 is 44370

2 24, 522, 170
3 12, 261, 85
4, 87, 85

∴ So the LCM of the given numbers is 2 x 3 x 4 x 87 x 85 = 177480

Least Common Multiple of 24,522,170 with GCF Formula

Least Common Multiple of 24,522,170 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 24,522,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,522,170) = 2

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

GCF(24,522,170) x common factors =2 x 6 = 12

LCM(24,522,170) = ( 24 × 522 × 170 ) / 12

LCM(24,522,170) = 2129760 / 12

LCM(24,522,170) = 177480


Lets's calculate GCF of 72,68,152

2 72, 68, 152
2 36, 34, 76
18, 17, 38

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177480/4

Therefore the LCM of Fractions 24/72,522/68,170/152 is 44370

Greatest Common Factor of 72,68,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,68,152 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 68

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

1,2,4,17,34,68

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 72,68,152 . The biggest common factor number is the GCF number.
So the greatest common factor 72,68,152 is 4.


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 24/72, 522/68, 170/152

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 24/72, 522/68, 170/152?

Answer: LCM of Numerators as per given numbers 24/72, 522/68, 170/152 is

LCM of Numerators i.e. for 24,522,170 is 177480

GCF of denominators i.e. for 72,68,152 is 4.

Thus, LCM of Fractions is 44370.Finally, LCM of Fractions for 24/72, 522/68, 170/152 is 44370.