Least Common Multiple of 518/801, 339/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 518/801, 339/693 quickly i.e. 175602/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 518/801, 339/693 is 175602/9.

LCM(518/801, 339/693) = 175602/9

LCM of 518/801, 339/693

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 518/801,339/693

Given numbers are 518/801,339/693

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 518,339

Least Common Multiple of Numerators i.e. LCM of 518,339 is 175602.

GCF of Denominators means GCF of 801,693 as per the given fractions.

GCF of 801,693 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 518,339

LCM of Fractions 518/801,339/693 is 175602/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 175602

Least Common Multiple of 518,339 with GCF Formula

Least Common Multiple of 518,339 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 518,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(518,339) = 1

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

GCF(518,339) x common factors =1 x 1 = 1

LCM(518,339) = ( 518 × 339 ) / 1

LCM(518,339) = 175602 / 1

LCM(518,339) = 175602


Lets's calculate GCF of 801,693

3 801, 693
3 267, 231
89, 77

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175602/9

Therefore the LCM of Fractions 518/801,339/693 is 175602/9

Greatest Common Factor of 801,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 801,693 By Matching Biggest Common Factor Method

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 801,693 . The biggest common factor number is the GCF number.
So the greatest common factor 801,693 is 9.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 518/801, 339/693

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 518/801, 339/693?

Answer: LCM of Numerators as per given numbers 518/801, 339/693 is

LCM of Numerators i.e. for 518,339 is 175602

GCF of denominators i.e. for 801,693 is 9.

Thus, LCM of Fractions is 175602/9.Finally, LCM of Fractions for 518/801, 339/693 is 175602/9.