Least Common Multiple of 123/103, 4258/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 123/103, 4258/387 quickly i.e. 523734 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 123/103, 4258/387 is 523734.

LCM(123/103, 4258/387) = 523734

LCM of 123/103, 4258/387

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 123/103,4258/387

Given numbers are 123/103,4258/387

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 123,4258

Least Common Multiple of Numerators i.e. LCM of 123,4258 is 523734.

GCF of Denominators means GCF of 103,387 as per the given fractions.

GCF of 103,387 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,4258

LCM of Fractions 123/103,4258/387 is 523734

Given numbers has no common factors except 1. So, there LCM is their product i.e 523734

Least Common Multiple of 123,4258 with GCF Formula

Least Common Multiple of 123,4258 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 123,4258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,4258) = 1

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

GCF(123,4258) x common factors =1 x 1 = 1

LCM(123,4258) = ( 123 × 4258 ) / 1

LCM(123,4258) = 523734 / 1

LCM(123,4258) = 523734


Lets's calculate GCF of 103,387

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 523734/1

Therefore the LCM of Fractions 123/103,4258/387 is 523734

Greatest Common Factor of 103,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 103,387 By Matching Biggest Common Factor Method

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 103,387 . The biggest common factor number is the GCF number.
So the greatest common factor 103,387 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 123/103, 4258/387

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 123/103, 4258/387?

Answer: LCM of Numerators as per given numbers 123/103, 4258/387 is

LCM of Numerators i.e. for 123,4258 is 523734

GCF of denominators i.e. for 103,387 is 1.

Thus, LCM of Fractions is 523734.Finally, LCM of Fractions for 123/103, 4258/387 is 523734.