Least Common Multiple of 4183/817, 6377/4218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4183/817, 6377/4218 quickly i.e. 26674991/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4183/817, 6377/4218 is 26674991/19.

LCM(4183/817, 6377/4218) = 26674991/19

LCM of 4183/817, 6377/4218

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 4183/817,6377/4218

Given numbers are 4183/817,6377/4218

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 4183,6377

Least Common Multiple of Numerators i.e. LCM of 4183,6377 is 26674991.

GCF of Denominators means GCF of 817,4218 as per the given fractions.

GCF of 817,4218 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4183,6377

LCM of Fractions 4183/817,6377/4218 is 26674991/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 26674991

Least Common Multiple of 4183,6377 with GCF Formula

Least Common Multiple of 4183,6377 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 4183,6377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4183,6377) = 1

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

GCF(4183,6377) x common factors =1 x 1 = 1

LCM(4183,6377) = ( 4183 × 6377 ) / 1

LCM(4183,6377) = 26674991 / 1

LCM(4183,6377) = 26674991


Lets's calculate GCF of 817,4218

19 817, 4218
43, 222

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26674991/19

Therefore the LCM of Fractions 4183/817,6377/4218 is 26674991/19

Greatest Common Factor of 817,4218 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,4218 By Matching Biggest Common Factor Method

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 4218

List of positive integer factors of 4218 that divides 4218 without a remainder.

1,2,3,6,19,37,38,57,74,111,114,222,703,1406,2109,4218

Greatest Common Factor

We found the factors 817,4218 . The biggest common factor number is the GCF number.
So the greatest common factor 817,4218 is 19.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4183/817, 6377/4218

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 4183/817, 6377/4218?

Answer: LCM of Numerators as per given numbers 4183/817, 6377/4218 is

LCM of Numerators i.e. for 4183,6377 is 26674991

GCF of denominators i.e. for 817,4218 is 19.

Thus, LCM of Fractions is 26674991/19.Finally, LCM of Fractions for 4183/817, 6377/4218 is 26674991/19.