Least Common Multiple of 49/191, 163/384, 862/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/191, 163/384, 862/264 quickly i.e. 6884794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/191, 163/384, 862/264 is 6884794.

LCM(49/191, 163/384, 862/264) = 6884794

LCM of 49/191, 163/384, 862/264

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 49/191,163/384,862/264

Given numbers are 49/191,163/384,862/264

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 49,163,862

Least Common Multiple of Numerators i.e. LCM of 49,163,862 is 6884794.

GCF of Denominators means GCF of 191,384,264 as per the given fractions.

GCF of 191,384,264 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,163,862

LCM of Fractions 49/191,163/384,862/264 is 6884794

Given numbers has no common factors except 1. So, there LCM is their product i.e 6884794

Least Common Multiple of 49,163,862 with GCF Formula

Least Common Multiple of 49,163,862 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 49,163,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,163,862) = 1

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

GCF(49,163,862) x common factors =1 x 1 = 1

LCM(49,163,862) = ( 49 × 163 × 862 ) / 1

LCM(49,163,862) = 6884794 / 1

LCM(49,163,862) = 6884794


Lets's calculate GCF of 191,384,264

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6884794/1

Therefore the LCM of Fractions 49/191,163/384,862/264 is 6884794

Greatest Common Factor of 191,384,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 191,384,264 By Matching Biggest Common Factor Method

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

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

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 191,384,264 . The biggest common factor number is the GCF number.
So the greatest common factor 191,384,264 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 49/191, 163/384, 862/264

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 49/191, 163/384, 862/264?

Answer: LCM of Numerators as per given numbers 49/191, 163/384, 862/264 is

LCM of Numerators i.e. for 49,163,862 is 6884794

GCF of denominators i.e. for 191,384,264 is 1.

Thus, LCM of Fractions is 6884794.Finally, LCM of Fractions for 49/191, 163/384, 862/264 is 6884794.