Least Common Multiple of 311/184, 1412/2116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 311/184, 1412/2116 quickly i.e. 439132/92 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 311/184, 1412/2116 is 439132/92.

LCM(311/184, 1412/2116) = 439132/92

LCM of 311/184, 1412/2116

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 311/184,1412/2116

Given numbers are 311/184,1412/2116

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 311,1412

Least Common Multiple of Numerators i.e. LCM of 311,1412 is 439132.

GCF of Denominators means GCF of 184,2116 as per the given fractions.

GCF of 184,2116 is 92 as it is the largest common factor for these numbers.

Lets's calculate LCM of 311,1412

LCM of Fractions 311/184,1412/2116 is 439132/92

Given numbers has no common factors except 1. So, there LCM is their product i.e 439132

Least Common Multiple of 311,1412 with GCF Formula

Least Common Multiple of 311,1412 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 311,1412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,1412) = 1

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

GCF(311,1412) x common factors =1 x 1 = 1

LCM(311,1412) = ( 311 × 1412 ) / 1

LCM(311,1412) = 439132 / 1

LCM(311,1412) = 439132


Lets's calculate GCF of 184,2116

2 184, 2116
2 92, 1058
23 46, 529
2, 23

∴ So the GCF of the given numbers is 2 x 2 x 23 = 92

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 439132/92

Therefore the LCM of Fractions 311/184,1412/2116 is 439132/92

Greatest Common Factor of 184,2116 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,2116 By Matching Biggest Common Factor Method

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 2116

List of positive integer factors of 2116 that divides 2116 without a remainder.

1,2,4,23,46,92,529,1058,2116

Greatest Common Factor

We found the factors 184,2116 . The biggest common factor number is the GCF number.
So the greatest common factor 184,2116 is 92.


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 311/184, 1412/2116

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 311/184, 1412/2116?

Answer: LCM of Numerators as per given numbers 311/184, 1412/2116 is

LCM of Numerators i.e. for 311,1412 is 439132

GCF of denominators i.e. for 184,2116 is 92.

Thus, LCM of Fractions is 439132/92.Finally, LCM of Fractions for 311/184, 1412/2116 is 439132/92.