Least Common Multiple of 64/738, 19/941, 516/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/738, 19/941, 516/904 quickly i.e. 156864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/738, 19/941, 516/904 is 156864.

LCM(64/738, 19/941, 516/904) = 156864

LCM of 64/738, 19/941, 516/904

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 64/738,19/941,516/904

Given numbers are 64/738,19/941,516/904

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 64,19,516

Least Common Multiple of Numerators i.e. LCM of 64,19,516 is 156864.

GCF of Denominators means GCF of 738,941,904 as per the given fractions.

GCF of 738,941,904 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,19,516

LCM of Fractions 64/738,19/941,516/904 is 156864

2 64, 19, 516
2 32, 19, 258
16, 19, 129

∴ So the LCM of the given numbers is 2 x 2 x 16 x 19 x 129 = 156864

Least Common Multiple of 64,19,516 with GCF Formula

Least Common Multiple of 64,19,516 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 64,19,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,19,516) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,19,516) x common factors =1 x 4 = 4

LCM(64,19,516) = ( 64 × 19 × 516 ) / 4

LCM(64,19,516) = 627456 / 4

LCM(64,19,516) = 156864


Lets's calculate GCF of 738,941,904

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156864/1

Therefore the LCM of Fractions 64/738,19/941,516/904 is 156864

Greatest Common Factor of 738,941,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,941,904 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 738,941,904 . The biggest common factor number is the GCF number.
So the greatest common factor 738,941,904 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 64/738, 19/941, 516/904

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 64/738, 19/941, 516/904?

Answer: LCM of Numerators as per given numbers 64/738, 19/941, 516/904 is

LCM of Numerators i.e. for 64,19,516 is 156864

GCF of denominators i.e. for 738,941,904 is 1.

Thus, LCM of Fractions is 156864.Finally, LCM of Fractions for 64/738, 19/941, 516/904 is 156864.