Least Common Multiple of 37/63, 738/18, 181/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/63, 738/18, 181/189 quickly i.e. 549154 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/63, 738/18, 181/189 is 549154.

LCM(37/63, 738/18, 181/189) = 549154

LCM of 37/63, 738/18, 181/189

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 37/63,738/18,181/189

Given numbers are 37/63,738/18,181/189

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 37,738,181

Least Common Multiple of Numerators i.e. LCM of 37,738,181 is 4942386.

GCF of Denominators means GCF of 63,18,189 as per the given fractions.

GCF of 63,18,189 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,738,181

LCM of Fractions 37/63,738/18,181/189 is 549154

Given numbers has no common factors except 1. So, there LCM is their product i.e 4942386

Least Common Multiple of 37,738,181 with GCF Formula

Least Common Multiple of 37,738,181 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 37,738,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,738,181) = 1

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

GCF(37,738,181) x common factors =1 x 1 = 1

LCM(37,738,181) = ( 37 × 738 × 181 ) / 1

LCM(37,738,181) = 4942386 / 1

LCM(37,738,181) = 4942386


Lets's calculate GCF of 63,18,189

3 63, 18, 189
3 21, 6, 63
7, 2, 21

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4942386/9

Therefore the LCM of Fractions 37/63,738/18,181/189 is 549154

Greatest Common Factor of 63,18,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,18,189 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 63,18,189 . The biggest common factor number is the GCF number.
So the greatest common factor 63,18,189 is 9.


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 37/63, 738/18, 181/189

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 37/63, 738/18, 181/189?

Answer: LCM of Numerators as per given numbers 37/63, 738/18, 181/189 is

LCM of Numerators i.e. for 37,738,181 is 4942386

GCF of denominators i.e. for 63,18,189 is 9.

Thus, LCM of Fractions is 549154.Finally, LCM of Fractions for 37/63, 738/18, 181/189 is 549154.