Least Common Multiple of 41/65, 347/42, 579/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 41/65, 347/42, 579/666 quickly i.e. 8237433 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/65, 347/42, 579/666 is 8237433.

LCM(41/65, 347/42, 579/666) = 8237433

LCM of 41/65, 347/42, 579/666

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 41/65,347/42,579/666

Given numbers are 41/65,347/42,579/666

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 41,347,579

Least Common Multiple of Numerators i.e. LCM of 41,347,579 is 8237433.

GCF of Denominators means GCF of 65,42,666 as per the given fractions.

GCF of 65,42,666 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,347,579

LCM of Fractions 41/65,347/42,579/666 is 8237433

Given numbers has no common factors except 1. So, there LCM is their product i.e 8237433

Least Common Multiple of 41,347,579 with GCF Formula

Least Common Multiple of 41,347,579 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 41,347,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,347,579) = 1

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

GCF(41,347,579) x common factors =1 x 1 = 1

LCM(41,347,579) = ( 41 × 347 × 579 ) / 1

LCM(41,347,579) = 8237433 / 1

LCM(41,347,579) = 8237433


Lets's calculate GCF of 65,42,666

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8237433/1

Therefore the LCM of Fractions 41/65,347/42,579/666 is 8237433

Greatest Common Factor of 65,42,666 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,42,666 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Greatest Common Factor

We found the factors 65,42,666 . The biggest common factor number is the GCF number.
So the greatest common factor 65,42,666 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 41/65, 347/42, 579/666

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 41/65, 347/42, 579/666?

Answer: LCM of Numerators as per given numbers 41/65, 347/42, 579/666 is

LCM of Numerators i.e. for 41,347,579 is 8237433

GCF of denominators i.e. for 65,42,666 is 1.

Thus, LCM of Fractions is 8237433.Finally, LCM of Fractions for 41/65, 347/42, 579/666 is 8237433.