Least Common Multiple of 78/509, 43/646, 512/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/509, 43/646, 512/125 quickly i.e. 858624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/509, 43/646, 512/125 is 858624.

LCM(78/509, 43/646, 512/125) = 858624

LCM of 78/509, 43/646, 512/125

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 78/509,43/646,512/125

Given numbers are 78/509,43/646,512/125

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 78,43,512

Least Common Multiple of Numerators i.e. LCM of 78,43,512 is 858624.

GCF of Denominators means GCF of 509,646,125 as per the given fractions.

GCF of 509,646,125 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,43,512

LCM of Fractions 78/509,43/646,512/125 is 858624

2 78, 43, 512
39, 43, 256

∴ So the LCM of the given numbers is 2 x 39 x 43 x 256 = 858624

Least Common Multiple of 78,43,512 with GCF Formula

Least Common Multiple of 78,43,512 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 78,43,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,43,512) = 1

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

GCF(78,43,512) x common factors =1 x 2 = 2

LCM(78,43,512) = ( 78 × 43 × 512 ) / 2

LCM(78,43,512) = 1717248 / 2

LCM(78,43,512) = 858624


Lets's calculate GCF of 509,646,125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 858624/1

Therefore the LCM of Fractions 78/509,43/646,512/125 is 858624

Greatest Common Factor of 509,646,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,646,125 By Matching Biggest Common Factor Method

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 509,646,125 . The biggest common factor number is the GCF number.
So the greatest common factor 509,646,125 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 78/509, 43/646, 512/125

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 78/509, 43/646, 512/125?

Answer: LCM of Numerators as per given numbers 78/509, 43/646, 512/125 is

LCM of Numerators i.e. for 78,43,512 is 858624

GCF of denominators i.e. for 509,646,125 is 1.

Thus, LCM of Fractions is 858624.Finally, LCM of Fractions for 78/509, 43/646, 512/125 is 858624.