Least Common Multiple of 568/597, 1696/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 568/597, 1696/351 quickly i.e. 120416/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 568/597, 1696/351 is 120416/3.

LCM(568/597, 1696/351) = 120416/3

LCM of 568/597, 1696/351

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 568/597,1696/351

Given numbers are 568/597,1696/351

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 568,1696

Least Common Multiple of Numerators i.e. LCM of 568,1696 is 120416.

GCF of Denominators means GCF of 597,351 as per the given fractions.

GCF of 597,351 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 568,1696

LCM of Fractions 568/597,1696/351 is 120416/3

2 568, 1696
2 284, 848
2 142, 424
71, 212

∴ So the LCM of the given numbers is 2 x 2 x 2 x 71 x 212 = 120416

Least Common Multiple of 568,1696 with GCF Formula

Least Common Multiple of 568,1696 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 568,1696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(568,1696) = 8

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

GCF(568,1696) x common factors =8 x 1 = 8

LCM(568,1696) = ( 568 × 1696 ) / 8

LCM(568,1696) = 963328 / 8

LCM(568,1696) = 120416


Lets's calculate GCF of 597,351

3 597, 351
199, 117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120416/3

Therefore the LCM of Fractions 568/597,1696/351 is 120416/3

Greatest Common Factor of 597,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 597,351 By Matching Biggest Common Factor Method

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 597,351 . The biggest common factor number is the GCF number.
So the greatest common factor 597,351 is 3.


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 568/597, 1696/351

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 568/597, 1696/351?

Answer: LCM of Numerators as per given numbers 568/597, 1696/351 is

LCM of Numerators i.e. for 568,1696 is 120416

GCF of denominators i.e. for 597,351 is 3.

Thus, LCM of Fractions is 120416/3.Finally, LCM of Fractions for 568/597, 1696/351 is 120416/3.