Least Common Multiple of 9/16, 23/508, 72/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/16, 23/508, 72/916 quickly i.e. 414 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/16, 23/508, 72/916 is 414.

LCM(9/16, 23/508, 72/916) = 414

LCM of 9/16, 23/508, 72/916

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 9/16,23/508,72/916

Given numbers are 9/16,23/508,72/916

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 9,23,72

Least Common Multiple of Numerators i.e. LCM of 9,23,72 is 1656.

GCF of Denominators means GCF of 16,508,916 as per the given fractions.

GCF of 16,508,916 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,23,72

LCM of Fractions 9/16,23/508,72/916 is 414

3 9, 23, 72
3 3, 23, 24
1, 23, 8

∴ So the LCM of the given numbers is 3 x 3 x 1 x 23 x 8 = 1656

Least Common Multiple of 9,23,72 with GCF Formula

Least Common Multiple of 9,23,72 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 9,23,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,23,72) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(9,23,72) x common factors =1 x 9 = 9

LCM(9,23,72) = ( 9 × 23 × 72 ) / 9

LCM(9,23,72) = 14904 / 9

LCM(9,23,72) = 1656


Lets's calculate GCF of 16,508,916

2 16, 508, 916
2 8, 254, 458
4, 127, 229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1656/4

Therefore the LCM of Fractions 9/16,23/508,72/916 is 414

Greatest Common Factor of 16,508,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,508,916 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 16,508,916 . The biggest common factor number is the GCF number.
So the greatest common factor 16,508,916 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 9/16, 23/508, 72/916

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 9/16, 23/508, 72/916?

Answer: LCM of Numerators as per given numbers 9/16, 23/508, 72/916 is

LCM of Numerators i.e. for 9,23,72 is 1656

GCF of denominators i.e. for 16,508,916 is 4.

Thus, LCM of Fractions is 414.Finally, LCM of Fractions for 9/16, 23/508, 72/916 is 414.