Least Common Multiple of 831/16, 291/48, 835/55

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 831/16, 291/48, 835/55 quickly i.e. 67306845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 831/16, 291/48, 835/55 is 67306845.

LCM(831/16, 291/48, 835/55) = 67306845

LCM of 831/16, 291/48, 835/55

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 831/16,291/48,835/55

Given numbers are 831/16,291/48,835/55

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 831,291,835

Least Common Multiple of Numerators i.e. LCM of 831,291,835 is 67306845.

GCF of Denominators means GCF of 16,48,55 as per the given fractions.

GCF of 16,48,55 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 831,291,835

LCM of Fractions 831/16,291/48,835/55 is 67306845

3 831, 291, 835
277, 97, 835

∴ So the LCM of the given numbers is 3 x 277 x 97 x 835 = 67306845

Least Common Multiple of 831,291,835 with GCF Formula

Least Common Multiple of 831,291,835 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 831,291,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,291,835) = 1

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

GCF(831,291,835) x common factors =1 x 3 = 3

LCM(831,291,835) = ( 831 × 291 × 835 ) / 3

LCM(831,291,835) = 201920535 / 3

LCM(831,291,835) = 67306845


Lets's calculate GCF of 16,48,55

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67306845/1

Therefore the LCM of Fractions 831/16,291/48,835/55 is 67306845

Greatest Common Factor of 16,48,55 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,48,55 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Greatest Common Factor

We found the factors 16,48,55 . The biggest common factor number is the GCF number.
So the greatest common factor 16,48,55 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 831/16, 291/48, 835/55

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 831/16, 291/48, 835/55?

Answer: LCM of Numerators as per given numbers 831/16, 291/48, 835/55 is

LCM of Numerators i.e. for 831,291,835 is 67306845

GCF of denominators i.e. for 16,48,55 is 1.

Thus, LCM of Fractions is 67306845.Finally, LCM of Fractions for 831/16, 291/48, 835/55 is 67306845.