Least Common Multiple of 45/144, 138/738, 667/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/144, 138/738, 667/597 quickly i.e. 20010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/144, 138/738, 667/597 is 20010.

LCM(45/144, 138/738, 667/597) = 20010

LCM of 45/144, 138/738, 667/597

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 45/144,138/738,667/597

Given numbers are 45/144,138/738,667/597

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 45,138,667

Least Common Multiple of Numerators i.e. LCM of 45,138,667 is 60030.

GCF of Denominators means GCF of 144,738,597 as per the given fractions.

GCF of 144,738,597 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,138,667

LCM of Fractions 45/144,138/738,667/597 is 20010

3 45, 138, 667
23 15, 46, 667
15, 2, 29

∴ So the LCM of the given numbers is 3 x 23 x 15 x 2 x 29 = 60030

Least Common Multiple of 45,138,667 with GCF Formula

Least Common Multiple of 45,138,667 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 45,138,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,138,667) = 1

common factors(in case of two or more numbers have common factors) = 69

GCF(45,138,667) x common factors =1 x 69 = 69

LCM(45,138,667) = ( 45 × 138 × 667 ) / 69

LCM(45,138,667) = 4142070 / 69

LCM(45,138,667) = 60030


Lets's calculate GCF of 144,738,597

3 144, 738, 597
48, 246, 199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60030/3

Therefore the LCM of Fractions 45/144,138/738,667/597 is 20010

Greatest Common Factor of 144,738,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,738,597 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors 144,738,597 . The biggest common factor number is the GCF number.
So the greatest common factor 144,738,597 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 45/144, 138/738, 667/597

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 45/144, 138/738, 667/597?

Answer: LCM of Numerators as per given numbers 45/144, 138/738, 667/597 is

LCM of Numerators i.e. for 45,138,667 is 60030

GCF of denominators i.e. for 144,738,597 is 3.

Thus, LCM of Fractions is 20010.Finally, LCM of Fractions for 45/144, 138/738, 667/597 is 20010.