Least Common Multiple of 6349/413, 8863/4401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6349/413, 8863/4401 quickly i.e. 56271187 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6349/413, 8863/4401 is 56271187.

LCM(6349/413, 8863/4401) = 56271187

LCM of 6349/413, 8863/4401

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 6349/413,8863/4401

Given numbers are 6349/413,8863/4401

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 6349,8863

Least Common Multiple of Numerators i.e. LCM of 6349,8863 is 56271187.

GCF of Denominators means GCF of 413,4401 as per the given fractions.

GCF of 413,4401 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6349,8863

LCM of Fractions 6349/413,8863/4401 is 56271187

Given numbers has no common factors except 1. So, there LCM is their product i.e 56271187

Least Common Multiple of 6349,8863 with GCF Formula

Least Common Multiple of 6349,8863 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 6349,8863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6349,8863) = 1

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

GCF(6349,8863) x common factors =1 x 1 = 1

LCM(6349,8863) = ( 6349 × 8863 ) / 1

LCM(6349,8863) = 56271187 / 1

LCM(6349,8863) = 56271187


Lets's calculate GCF of 413,4401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56271187/1

Therefore the LCM of Fractions 6349/413,8863/4401 is 56271187

Greatest Common Factor of 413,4401 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,4401 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 4401

List of positive integer factors of 4401 that divides 4401 without a remainder.

1,3,9,27,163,489,1467,4401

Greatest Common Factor

We found the factors 413,4401 . The biggest common factor number is the GCF number.
So the greatest common factor 413,4401 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6349/413, 8863/4401

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 6349/413, 8863/4401?

Answer: LCM of Numerators as per given numbers 6349/413, 8863/4401 is

LCM of Numerators i.e. for 6349,8863 is 56271187

GCF of denominators i.e. for 413,4401 is 1.

Thus, LCM of Fractions is 56271187.Finally, LCM of Fractions for 6349/413, 8863/4401 is 56271187.