Least Common Multiple of 539/702, 5698/2399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 539/702, 5698/2399 quickly i.e. 39886 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 539/702, 5698/2399 is 39886.

LCM(539/702, 5698/2399) = 39886

LCM of 539/702, 5698/2399

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 539/702,5698/2399

Given numbers are 539/702,5698/2399

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 539,5698

Least Common Multiple of Numerators i.e. LCM of 539,5698 is 39886.

GCF of Denominators means GCF of 702,2399 as per the given fractions.

GCF of 702,2399 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 539,5698

LCM of Fractions 539/702,5698/2399 is 39886

7 539, 5698
11 77, 814
7, 74

∴ So the LCM of the given numbers is 7 x 11 x 7 x 74 = 39886

Least Common Multiple of 539,5698 with GCF Formula

Least Common Multiple of 539,5698 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 539,5698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(539,5698) = 77

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

GCF(539,5698) x common factors =77 x 1 = 77

LCM(539,5698) = ( 539 × 5698 ) / 77

LCM(539,5698) = 3071222 / 77

LCM(539,5698) = 39886


Lets's calculate GCF of 702,2399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39886/1

Therefore the LCM of Fractions 539/702,5698/2399 is 39886

Greatest Common Factor of 702,2399 By Matching Biggest Common Factor Method

Greatest Common Factor of 702,2399 By Matching Biggest Common Factor Method

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 2399

List of positive integer factors of 2399 that divides 2399 without a remainder.

1,2399

Greatest Common Factor

We found the factors 702,2399 . The biggest common factor number is the GCF number.
So the greatest common factor 702,2399 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 539/702, 5698/2399

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 539/702, 5698/2399?

Answer: LCM of Numerators as per given numbers 539/702, 5698/2399 is

LCM of Numerators i.e. for 539,5698 is 39886

GCF of denominators i.e. for 702,2399 is 1.

Thus, LCM of Fractions is 39886.Finally, LCM of Fractions for 539/702, 5698/2399 is 39886.