Least Common Multiple of 138/43, 367/56, 645/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 138/43, 367/56, 645/603 quickly i.e. 10888890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 138/43, 367/56, 645/603 is 10888890.

LCM(138/43, 367/56, 645/603) = 10888890

LCM of 138/43, 367/56, 645/603

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 138/43,367/56,645/603

Given numbers are 138/43,367/56,645/603

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 138,367,645

Least Common Multiple of Numerators i.e. LCM of 138,367,645 is 10888890.

GCF of Denominators means GCF of 43,56,603 as per the given fractions.

GCF of 43,56,603 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 138,367,645

LCM of Fractions 138/43,367/56,645/603 is 10888890

3 138, 367, 645
46, 367, 215

∴ So the LCM of the given numbers is 3 x 46 x 367 x 215 = 10888890

Least Common Multiple of 138,367,645 with GCF Formula

Least Common Multiple of 138,367,645 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 138,367,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,367,645) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(138,367,645) x common factors =1 x 3 = 3

LCM(138,367,645) = ( 138 × 367 × 645 ) / 3

LCM(138,367,645) = 32666670 / 3

LCM(138,367,645) = 10888890


Lets's calculate GCF of 43,56,603

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10888890/1

Therefore the LCM of Fractions 138/43,367/56,645/603 is 10888890

Greatest Common Factor of 43,56,603 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,56,603 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

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 43,56,603 . The biggest common factor number is the GCF number.
So the greatest common factor 43,56,603 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 138/43, 367/56, 645/603

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 138/43, 367/56, 645/603?

Answer: LCM of Numerators as per given numbers 138/43, 367/56, 645/603 is

LCM of Numerators i.e. for 138,367,645 is 10888890

GCF of denominators i.e. for 43,56,603 is 1.

Thus, LCM of Fractions is 10888890.Finally, LCM of Fractions for 138/43, 367/56, 645/603 is 10888890.