Least Common Multiple of 64/29, 96/92, 19/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/29, 96/92, 19/728 quickly i.e. 3648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/29, 96/92, 19/728 is 3648.

LCM(64/29, 96/92, 19/728) = 3648

LCM of 64/29, 96/92, 19/728

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 64/29,96/92,19/728

Given numbers are 64/29,96/92,19/728

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 64,96,19

Least Common Multiple of Numerators i.e. LCM of 64,96,19 is 3648.

GCF of Denominators means GCF of 29,92,728 as per the given fractions.

GCF of 29,92,728 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,96,19

LCM of Fractions 64/29,96/92,19/728 is 3648

2 64, 96, 19
2 32, 48, 19
2 16, 24, 19
2 8, 12, 19
2 4, 6, 19
2, 3, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 19 = 3648

Least Common Multiple of 64,96,19 with GCF Formula

Least Common Multiple of 64,96,19 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 64,96,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,96,19) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(64,96,19) x common factors =1 x 32 = 32

LCM(64,96,19) = ( 64 × 96 × 19 ) / 32

LCM(64,96,19) = 116736 / 32

LCM(64,96,19) = 3648


Lets's calculate GCF of 29,92,728

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3648/1

Therefore the LCM of Fractions 64/29,96/92,19/728 is 3648

Greatest Common Factor of 29,92,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,92,728 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 29,92,728 . The biggest common factor number is the GCF number.
So the greatest common factor 29,92,728 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 64/29, 96/92, 19/728

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 64/29, 96/92, 19/728?

Answer: LCM of Numerators as per given numbers 64/29, 96/92, 19/728 is

LCM of Numerators i.e. for 64,96,19 is 3648

GCF of denominators i.e. for 29,92,728 is 1.

Thus, LCM of Fractions is 3648.Finally, LCM of Fractions for 64/29, 96/92, 19/728 is 3648.