Least Common Multiple of 138/469, 8122/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 138/469, 8122/603 quickly i.e. 560418/67 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 138/469, 8122/603 is 560418/67.

LCM(138/469, 8122/603) = 560418/67

LCM of 138/469, 8122/603

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 138/469,8122/603

Given numbers are 138/469,8122/603

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 138,8122

Least Common Multiple of Numerators i.e. LCM of 138,8122 is 560418.

GCF of Denominators means GCF of 469,603 as per the given fractions.

GCF of 469,603 is 67 as it is the largest common factor for these numbers.

Lets's calculate LCM of 138,8122

LCM of Fractions 138/469,8122/603 is 560418/67

2 138, 8122
69, 4061

∴ So the LCM of the given numbers is 2 x 69 x 4061 = 560418

Least Common Multiple of 138,8122 with GCF Formula

Least Common Multiple of 138,8122 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 138,8122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,8122) = 2

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

GCF(138,8122) x common factors =2 x 1 = 2

LCM(138,8122) = ( 138 × 8122 ) / 2

LCM(138,8122) = 1120836 / 2

LCM(138,8122) = 560418


Lets's calculate GCF of 469,603

67 469, 603
7, 9

∴ So the GCF of the given numbers is 67 = 67

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 560418/67

Therefore the LCM of Fractions 138/469,8122/603 is 560418/67

Greatest Common Factor of 469,603 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,603 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Greatest Common Factor

We found the factors 469,603 . The biggest common factor number is the GCF number.
So the greatest common factor 469,603 is 67.


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 138/469, 8122/603

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 138/469, 8122/603?

Answer: LCM of Numerators as per given numbers 138/469, 8122/603 is

LCM of Numerators i.e. for 138,8122 is 560418

GCF of denominators i.e. for 469,603 is 67.

Thus, LCM of Fractions is 560418/67.Finally, LCM of Fractions for 138/469, 8122/603 is 560418/67.