Least Common Multiple of 538/602, 584/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 538/602, 584/207 quickly i.e. 157096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 538/602, 584/207 is 157096.

LCM(538/602, 584/207) = 157096

LCM of 538/602, 584/207

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 538/602,584/207

Given numbers are 538/602,584/207

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 538,584

Least Common Multiple of Numerators i.e. LCM of 538,584 is 157096.

GCF of Denominators means GCF of 602,207 as per the given fractions.

GCF of 602,207 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 538,584

LCM of Fractions 538/602,584/207 is 157096

2 538, 584
269, 292

∴ So the LCM of the given numbers is 2 x 269 x 292 = 157096

Least Common Multiple of 538,584 with GCF Formula

Least Common Multiple of 538,584 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 538,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,584) = 2

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

GCF(538,584) x common factors =2 x 1 = 2

LCM(538,584) = ( 538 × 584 ) / 2

LCM(538,584) = 314192 / 2

LCM(538,584) = 157096


Lets's calculate GCF of 602,207

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157096/1

Therefore the LCM of Fractions 538/602,584/207 is 157096

Greatest Common Factor of 602,207 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,207 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Greatest Common Factor

We found the factors 602,207 . The biggest common factor number is the GCF number.
So the greatest common factor 602,207 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 538/602, 584/207

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 538/602, 584/207?

Answer: LCM of Numerators as per given numbers 538/602, 584/207 is

LCM of Numerators i.e. for 538,584 is 157096

GCF of denominators i.e. for 602,207 is 1.

Thus, LCM of Fractions is 157096.Finally, LCM of Fractions for 538/602, 584/207 is 157096.