Least Common Multiple of 64/875, 609/813, 927/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 64/875, 609/813, 927/828 quickly i.e. 12043584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/875, 609/813, 927/828 is 12043584.

LCM(64/875, 609/813, 927/828) = 12043584

LCM of 64/875, 609/813, 927/828

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 64/875,609/813,927/828

Given numbers are 64/875,609/813,927/828

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 64,609,927

Least Common Multiple of Numerators i.e. LCM of 64,609,927 is 12043584.

GCF of Denominators means GCF of 875,813,828 as per the given fractions.

GCF of 875,813,828 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,609,927

LCM of Fractions 64/875,609/813,927/828 is 12043584

3 64, 609, 927
64, 203, 309

∴ So the LCM of the given numbers is 3 x 64 x 203 x 309 = 12043584

Least Common Multiple of 64,609,927 with GCF Formula

Least Common Multiple of 64,609,927 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 64,609,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,609,927) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(64,609,927) x common factors =1 x 3 = 3

LCM(64,609,927) = ( 64 × 609 × 927 ) / 3

LCM(64,609,927) = 36130752 / 3

LCM(64,609,927) = 12043584


Lets's calculate GCF of 875,813,828

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12043584/1

Therefore the LCM of Fractions 64/875,609/813,927/828 is 12043584

Greatest Common Factor of 875,813,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,813,828 By Matching Biggest Common Factor Method

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 875,813,828 . The biggest common factor number is the GCF number.
So the greatest common factor 875,813,828 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 64/875, 609/813, 927/828

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 64/875, 609/813, 927/828?

Answer: LCM of Numerators as per given numbers 64/875, 609/813, 927/828 is

LCM of Numerators i.e. for 64,609,927 is 12043584

GCF of denominators i.e. for 875,813,828 is 1.

Thus, LCM of Fractions is 12043584.Finally, LCM of Fractions for 64/875, 609/813, 927/828 is 12043584.