Least Common Multiple of 219/93, 622/54, 644/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 219/93, 622/54, 644/120 quickly i.e. 14620732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 219/93, 622/54, 644/120 is 14620732.

LCM(219/93, 622/54, 644/120) = 14620732

LCM of 219/93, 622/54, 644/120

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 219/93,622/54,644/120

Given numbers are 219/93,622/54,644/120

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 219,622,644

Least Common Multiple of Numerators i.e. LCM of 219,622,644 is 43862196.

GCF of Denominators means GCF of 93,54,120 as per the given fractions.

GCF of 93,54,120 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 219,622,644

LCM of Fractions 219/93,622/54,644/120 is 14620732

2 219, 622, 644
219, 311, 322

∴ So the LCM of the given numbers is 2 x 219 x 311 x 322 = 43862196

Least Common Multiple of 219,622,644 with GCF Formula

Least Common Multiple of 219,622,644 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 219,622,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,622,644) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(219,622,644) x common factors =1 x 2 = 2

LCM(219,622,644) = ( 219 × 622 × 644 ) / 2

LCM(219,622,644) = 87724392 / 2

LCM(219,622,644) = 43862196


Lets's calculate GCF of 93,54,120

3 93, 54, 120
31, 18, 40

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43862196/3

Therefore the LCM of Fractions 219/93,622/54,644/120 is 14620732

Greatest Common Factor of 93,54,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,54,120 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 93,54,120 . The biggest common factor number is the GCF number.
So the greatest common factor 93,54,120 is 3.


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 219/93, 622/54, 644/120

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 219/93, 622/54, 644/120?

Answer: LCM of Numerators as per given numbers 219/93, 622/54, 644/120 is

LCM of Numerators i.e. for 219,622,644 is 43862196

GCF of denominators i.e. for 93,54,120 is 3.

Thus, LCM of Fractions is 14620732.Finally, LCM of Fractions for 219/93, 622/54, 644/120 is 14620732.