Least Common Multiple of 64/169, 293/728, 534/246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/169, 293/728, 534/246 quickly i.e. 5006784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/169, 293/728, 534/246 is 5006784.

LCM(64/169, 293/728, 534/246) = 5006784

LCM of 64/169, 293/728, 534/246

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 64/169,293/728,534/246

Given numbers are 64/169,293/728,534/246

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 64,293,534

Least Common Multiple of Numerators i.e. LCM of 64,293,534 is 5006784.

GCF of Denominators means GCF of 169,728,246 as per the given fractions.

GCF of 169,728,246 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,293,534

LCM of Fractions 64/169,293/728,534/246 is 5006784

2 64, 293, 534
32, 293, 267

∴ So the LCM of the given numbers is 2 x 32 x 293 x 267 = 5006784

Least Common Multiple of 64,293,534 with GCF Formula

Least Common Multiple of 64,293,534 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 64,293,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,293,534) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(64,293,534) x common factors =1 x 2 = 2

LCM(64,293,534) = ( 64 × 293 × 534 ) / 2

LCM(64,293,534) = 10013568 / 2

LCM(64,293,534) = 5006784


Lets's calculate GCF of 169,728,246

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5006784/1

Therefore the LCM of Fractions 64/169,293/728,534/246 is 5006784

Greatest Common Factor of 169,728,246 By Matching Biggest Common Factor Method

Greatest Common Factor of 169,728,246 By Matching Biggest Common Factor Method

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

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

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Greatest Common Factor

We found the factors 169,728,246 . The biggest common factor number is the GCF number.
So the greatest common factor 169,728,246 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 64/169, 293/728, 534/246

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 64/169, 293/728, 534/246?

Answer: LCM of Numerators as per given numbers 64/169, 293/728, 534/246 is

LCM of Numerators i.e. for 64,293,534 is 5006784

GCF of denominators i.e. for 169,728,246 is 1.

Thus, LCM of Fractions is 5006784.Finally, LCM of Fractions for 64/169, 293/728, 534/246 is 5006784.