Least Common Multiple of 268/578, 894/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 268/578, 894/768 quickly i.e. 59898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 268/578, 894/768 is 59898.

LCM(268/578, 894/768) = 59898

LCM of 268/578, 894/768

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 268/578,894/768

Given numbers are 268/578,894/768

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 268,894

Least Common Multiple of Numerators i.e. LCM of 268,894 is 119796.

GCF of Denominators means GCF of 578,768 as per the given fractions.

GCF of 578,768 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 268,894

LCM of Fractions 268/578,894/768 is 59898

2 268, 894
134, 447

∴ So the LCM of the given numbers is 2 x 134 x 447 = 119796

Least Common Multiple of 268,894 with GCF Formula

Least Common Multiple of 268,894 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 268,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,894) = 2

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

GCF(268,894) x common factors =2 x 1 = 2

LCM(268,894) = ( 268 × 894 ) / 2

LCM(268,894) = 239592 / 2

LCM(268,894) = 119796


Lets's calculate GCF of 578,768

2 578, 768
289, 384

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119796/2

Therefore the LCM of Fractions 268/578,894/768 is 59898

Greatest Common Factor of 578,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,768 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 578,768 . The biggest common factor number is the GCF number.
So the greatest common factor 578,768 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 268/578, 894/768

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 268/578, 894/768?

Answer: LCM of Numerators as per given numbers 268/578, 894/768 is

LCM of Numerators i.e. for 268,894 is 119796

GCF of denominators i.e. for 578,768 is 2.

Thus, LCM of Fractions is 59898.Finally, LCM of Fractions for 268/578, 894/768 is 59898.