Least Common Multiple of 518/402, 267/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 518/402, 267/625 quickly i.e. 138306 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 518/402, 267/625 is 138306.

LCM(518/402, 267/625) = 138306

LCM of 518/402, 267/625

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 518/402,267/625

Given numbers are 518/402,267/625

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 518,267

Least Common Multiple of Numerators i.e. LCM of 518,267 is 138306.

GCF of Denominators means GCF of 402,625 as per the given fractions.

GCF of 402,625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 518,267

LCM of Fractions 518/402,267/625 is 138306

Given numbers has no common factors except 1. So, there LCM is their product i.e 138306

Least Common Multiple of 518,267 with GCF Formula

Least Common Multiple of 518,267 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 518,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(518,267) = 1

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

GCF(518,267) x common factors =1 x 1 = 1

LCM(518,267) = ( 518 × 267 ) / 1

LCM(518,267) = 138306 / 1

LCM(518,267) = 138306


Lets's calculate GCF of 402,625

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138306/1

Therefore the LCM of Fractions 518/402,267/625 is 138306

Greatest Common Factor of 402,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,625 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 402,625 . The biggest common factor number is the GCF number.
So the greatest common factor 402,625 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 518/402, 267/625

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 518/402, 267/625?

Answer: LCM of Numerators as per given numbers 518/402, 267/625 is

LCM of Numerators i.e. for 518,267 is 138306

GCF of denominators i.e. for 402,625 is 1.

Thus, LCM of Fractions is 138306.Finally, LCM of Fractions for 518/402, 267/625 is 138306.