Least Common Multiple of 321/30, 112/4356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 321/30, 112/4356 quickly i.e. 5992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 321/30, 112/4356 is 5992.

LCM(321/30, 112/4356) = 5992

LCM of 321/30, 112/4356

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 321/30,112/4356

Given numbers are 321/30,112/4356

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 321,112

Least Common Multiple of Numerators i.e. LCM of 321,112 is 35952.

GCF of Denominators means GCF of 30,4356 as per the given fractions.

GCF of 30,4356 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 321,112

LCM of Fractions 321/30,112/4356 is 5992

Given numbers has no common factors except 1. So, there LCM is their product i.e 35952

Least Common Multiple of 321,112 with GCF Formula

Least Common Multiple of 321,112 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 321,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,112) = 1

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

GCF(321,112) x common factors =1 x 1 = 1

LCM(321,112) = ( 321 × 112 ) / 1

LCM(321,112) = 35952 / 1

LCM(321,112) = 35952


Lets's calculate GCF of 30,4356

2 30, 4356
3 15, 2178
5, 726

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35952/6

Therefore the LCM of Fractions 321/30,112/4356 is 5992

Greatest Common Factor of 30,4356 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,4356 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 4356

List of positive integer factors of 4356 that divides 4356 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,121,132,198,242,363,396,484,726,1089,1452,2178,4356

Greatest Common Factor

We found the factors 30,4356 . The biggest common factor number is the GCF number.
So the greatest common factor 30,4356 is 6.


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 321/30, 112/4356

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 321/30, 112/4356?

Answer: LCM of Numerators as per given numbers 321/30, 112/4356 is

LCM of Numerators i.e. for 321,112 is 35952

GCF of denominators i.e. for 30,4356 is 6.

Thus, LCM of Fractions is 5992.Finally, LCM of Fractions for 321/30, 112/4356 is 5992.