Least Common Multiple of 268/34, 5980/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 268/34, 5980/302 quickly i.e. 200330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 268/34, 5980/302 is 200330.

LCM(268/34, 5980/302) = 200330

LCM of 268/34, 5980/302

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 268/34,5980/302

Given numbers are 268/34,5980/302

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 268,5980

Least Common Multiple of Numerators i.e. LCM of 268,5980 is 400660.

GCF of Denominators means GCF of 34,302 as per the given fractions.

GCF of 34,302 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 268,5980

LCM of Fractions 268/34,5980/302 is 200330

2 268, 5980
2 134, 2990
67, 1495

∴ So the LCM of the given numbers is 2 x 2 x 67 x 1495 = 400660

Least Common Multiple of 268,5980 with GCF Formula

Least Common Multiple of 268,5980 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 268,5980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,5980) = 4

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

GCF(268,5980) x common factors =4 x 1 = 4

LCM(268,5980) = ( 268 × 5980 ) / 4

LCM(268,5980) = 1602640 / 4

LCM(268,5980) = 400660


Lets's calculate GCF of 34,302

2 34, 302
17, 151

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 400660/2

Therefore the LCM of Fractions 268/34,5980/302 is 200330

Greatest Common Factor of 34,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,302 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 34,302 . The biggest common factor number is the GCF number.
So the greatest common factor 34,302 is 2.


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 268/34, 5980/302

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 268/34, 5980/302?

Answer: LCM of Numerators as per given numbers 268/34, 5980/302 is

LCM of Numerators i.e. for 268,5980 is 400660

GCF of denominators i.e. for 34,302 is 2.

Thus, LCM of Fractions is 200330.Finally, LCM of Fractions for 268/34, 5980/302 is 200330.