Least Common Multiple of 474/80, 524/6538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 474/80, 524/6538 quickly i.e. 62094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 474/80, 524/6538 is 62094.

LCM(474/80, 524/6538) = 62094

LCM of 474/80, 524/6538

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 474/80,524/6538

Given numbers are 474/80,524/6538

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 474,524

Least Common Multiple of Numerators i.e. LCM of 474,524 is 124188.

GCF of Denominators means GCF of 80,6538 as per the given fractions.

GCF of 80,6538 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 474,524

LCM of Fractions 474/80,524/6538 is 62094

2 474, 524
237, 262

∴ So the LCM of the given numbers is 2 x 237 x 262 = 124188

Least Common Multiple of 474,524 with GCF Formula

Least Common Multiple of 474,524 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 474,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,524) = 2

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

GCF(474,524) x common factors =2 x 1 = 2

LCM(474,524) = ( 474 × 524 ) / 2

LCM(474,524) = 248376 / 2

LCM(474,524) = 124188


Lets's calculate GCF of 80,6538

2 80, 6538
40, 3269

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124188/2

Therefore the LCM of Fractions 474/80,524/6538 is 62094

Greatest Common Factor of 80,6538 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,6538 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 6538

List of positive integer factors of 6538 that divides 6538 without a remainder.

1,2,7,14,467,934,3269,6538

Greatest Common Factor

We found the factors 80,6538 . The biggest common factor number is the GCF number.
So the greatest common factor 80,6538 is 2.


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 474/80, 524/6538

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 474/80, 524/6538?

Answer: LCM of Numerators as per given numbers 474/80, 524/6538 is

LCM of Numerators i.e. for 474,524 is 124188

GCF of denominators i.e. for 80,6538 is 2.

Thus, LCM of Fractions is 62094.Finally, LCM of Fractions for 474/80, 524/6538 is 62094.