Least Common Multiple of 291/392, 864/768, 685/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 291/392, 864/768, 685/199 quickly i.e. 57408480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 291/392, 864/768, 685/199 is 57408480.

LCM(291/392, 864/768, 685/199) = 57408480

LCM of 291/392, 864/768, 685/199

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 291/392,864/768,685/199

Given numbers are 291/392,864/768,685/199

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 291,864,685

Least Common Multiple of Numerators i.e. LCM of 291,864,685 is 57408480.

GCF of Denominators means GCF of 392,768,199 as per the given fractions.

GCF of 392,768,199 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 291,864,685

LCM of Fractions 291/392,864/768,685/199 is 57408480

3 291, 864, 685
97, 288, 685

∴ So the LCM of the given numbers is 3 x 97 x 288 x 685 = 57408480

Least Common Multiple of 291,864,685 with GCF Formula

Least Common Multiple of 291,864,685 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 291,864,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,864,685) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(291,864,685) x common factors =1 x 3 = 3

LCM(291,864,685) = ( 291 × 864 × 685 ) / 3

LCM(291,864,685) = 172225440 / 3

LCM(291,864,685) = 57408480


Lets's calculate GCF of 392,768,199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57408480/1

Therefore the LCM of Fractions 291/392,864/768,685/199 is 57408480

Greatest Common Factor of 392,768,199 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,768,199 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

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

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Greatest Common Factor

We found the factors 392,768,199 . The biggest common factor number is the GCF number.
So the greatest common factor 392,768,199 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 291/392, 864/768, 685/199

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 291/392, 864/768, 685/199?

Answer: LCM of Numerators as per given numbers 291/392, 864/768, 685/199 is

LCM of Numerators i.e. for 291,864,685 is 57408480

GCF of denominators i.e. for 392,768,199 is 1.

Thus, LCM of Fractions is 57408480.Finally, LCM of Fractions for 291/392, 864/768, 685/199 is 57408480.