Least Common Multiple of 643/529, 792/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 643/529, 792/400 quickly i.e. 509256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 643/529, 792/400 is 509256.

LCM(643/529, 792/400) = 509256

LCM of 643/529, 792/400

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 643/529,792/400

Given numbers are 643/529,792/400

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 643,792

Least Common Multiple of Numerators i.e. LCM of 643,792 is 509256.

GCF of Denominators means GCF of 529,400 as per the given fractions.

GCF of 529,400 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 643,792

LCM of Fractions 643/529,792/400 is 509256

Given numbers has no common factors except 1. So, there LCM is their product i.e 509256

Least Common Multiple of 643,792 with GCF Formula

Least Common Multiple of 643,792 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 643,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(643,792) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(643,792) x common factors =1 x 1 = 1

LCM(643,792) = ( 643 × 792 ) / 1

LCM(643,792) = 509256 / 1

LCM(643,792) = 509256


Lets's calculate GCF of 529,400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 509256/1

Therefore the LCM of Fractions 643/529,792/400 is 509256

Greatest Common Factor of 529,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 529,400 By Matching Biggest Common Factor Method

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 529,400 . The biggest common factor number is the GCF number.
So the greatest common factor 529,400 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 643/529, 792/400

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 643/529, 792/400?

Answer: LCM of Numerators as per given numbers 643/529, 792/400 is

LCM of Numerators i.e. for 643,792 is 509256

GCF of denominators i.e. for 529,400 is 1.

Thus, LCM of Fractions is 509256.Finally, LCM of Fractions for 643/529, 792/400 is 509256.