Least Common Multiple of 43/513, 42/644, 725/203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 43/513, 42/644, 725/203 quickly i.e. 1309350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/513, 42/644, 725/203 is 1309350.

LCM(43/513, 42/644, 725/203) = 1309350

LCM of 43/513, 42/644, 725/203

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 43/513,42/644,725/203

Given numbers are 43/513,42/644,725/203

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 43,42,725

Least Common Multiple of Numerators i.e. LCM of 43,42,725 is 1309350.

GCF of Denominators means GCF of 513,644,203 as per the given fractions.

GCF of 513,644,203 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,42,725

LCM of Fractions 43/513,42/644,725/203 is 1309350

Given numbers has no common factors except 1. So, there LCM is their product i.e 1309350

Least Common Multiple of 43,42,725 with GCF Formula

Least Common Multiple of 43,42,725 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 43,42,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,42,725) = 1

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

GCF(43,42,725) x common factors =1 x 1 = 1

LCM(43,42,725) = ( 43 × 42 × 725 ) / 1

LCM(43,42,725) = 1309350 / 1

LCM(43,42,725) = 1309350


Lets's calculate GCF of 513,644,203

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1309350/1

Therefore the LCM of Fractions 43/513,42/644,725/203 is 1309350

Greatest Common Factor of 513,644,203 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,644,203 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Greatest Common Factor

We found the factors 513,644,203 . The biggest common factor number is the GCF number.
So the greatest common factor 513,644,203 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 43/513, 42/644, 725/203

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 43/513, 42/644, 725/203?

Answer: LCM of Numerators as per given numbers 43/513, 42/644, 725/203 is

LCM of Numerators i.e. for 43,42,725 is 1309350

GCF of denominators i.e. for 513,644,203 is 1.

Thus, LCM of Fractions is 1309350.Finally, LCM of Fractions for 43/513, 42/644, 725/203 is 1309350.