Least Common Multiple of 21/398, 2413/6095

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 21/398, 2413/6095 quickly i.e. 50673 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/398, 2413/6095 is 50673.

LCM(21/398, 2413/6095) = 50673

LCM of 21/398, 2413/6095

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 21/398,2413/6095

Given numbers are 21/398,2413/6095

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 21,2413

Least Common Multiple of Numerators i.e. LCM of 21,2413 is 50673.

GCF of Denominators means GCF of 398,6095 as per the given fractions.

GCF of 398,6095 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,2413

LCM of Fractions 21/398,2413/6095 is 50673

Given numbers has no common factors except 1. So, there LCM is their product i.e 50673

Least Common Multiple of 21,2413 with GCF Formula

Least Common Multiple of 21,2413 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 21,2413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,2413) = 1

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

GCF(21,2413) x common factors =1 x 1 = 1

LCM(21,2413) = ( 21 × 2413 ) / 1

LCM(21,2413) = 50673 / 1

LCM(21,2413) = 50673


Lets's calculate GCF of 398,6095

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50673/1

Therefore the LCM of Fractions 21/398,2413/6095 is 50673

Greatest Common Factor of 398,6095 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,6095 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 6095

List of positive integer factors of 6095 that divides 6095 without a remainder.

1,5,23,53,115,265,1219,6095

Greatest Common Factor

We found the factors 398,6095 . The biggest common factor number is the GCF number.
So the greatest common factor 398,6095 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 21/398, 2413/6095

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 21/398, 2413/6095?

Answer: LCM of Numerators as per given numbers 21/398, 2413/6095 is

LCM of Numerators i.e. for 21,2413 is 50673

GCF of denominators i.e. for 398,6095 is 1.

Thus, LCM of Fractions is 50673.Finally, LCM of Fractions for 21/398, 2413/6095 is 50673.