Least Common Multiple of 437/713, 420/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 437/713, 420/538 quickly i.e. 183540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 437/713, 420/538 is 183540.

LCM(437/713, 420/538) = 183540

LCM of 437/713, 420/538

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 437/713,420/538

Given numbers are 437/713,420/538

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 437,420

Least Common Multiple of Numerators i.e. LCM of 437,420 is 183540.

GCF of Denominators means GCF of 713,538 as per the given fractions.

GCF of 713,538 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 437,420

LCM of Fractions 437/713,420/538 is 183540

Given numbers has no common factors except 1. So, there LCM is their product i.e 183540

Least Common Multiple of 437,420 with GCF Formula

Least Common Multiple of 437,420 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 437,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(437,420) = 1

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

GCF(437,420) x common factors =1 x 1 = 1

LCM(437,420) = ( 437 × 420 ) / 1

LCM(437,420) = 183540 / 1

LCM(437,420) = 183540


Lets's calculate GCF of 713,538

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183540/1

Therefore the LCM of Fractions 437/713,420/538 is 183540

Greatest Common Factor of 713,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,538 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 713,538 . The biggest common factor number is the GCF number.
So the greatest common factor 713,538 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 437/713, 420/538

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 437/713, 420/538?

Answer: LCM of Numerators as per given numbers 437/713, 420/538 is

LCM of Numerators i.e. for 437,420 is 183540

GCF of denominators i.e. for 713,538 is 1.

Thus, LCM of Fractions is 183540.Finally, LCM of Fractions for 437/713, 420/538 is 183540.