Least Common Multiple of 66/97, 419/80, 729/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 66/97, 419/80, 729/908 quickly i.e. 6719922 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/97, 419/80, 729/908 is 6719922.

LCM(66/97, 419/80, 729/908) = 6719922

LCM of 66/97, 419/80, 729/908

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 66/97,419/80,729/908

Given numbers are 66/97,419/80,729/908

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 66,419,729

Least Common Multiple of Numerators i.e. LCM of 66,419,729 is 6719922.

GCF of Denominators means GCF of 97,80,908 as per the given fractions.

GCF of 97,80,908 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,419,729

LCM of Fractions 66/97,419/80,729/908 is 6719922

3 66, 419, 729
22, 419, 243

∴ So the LCM of the given numbers is 3 x 22 x 419 x 243 = 6719922

Least Common Multiple of 66,419,729 with GCF Formula

Least Common Multiple of 66,419,729 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 66,419,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,419,729) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(66,419,729) x common factors =1 x 3 = 3

LCM(66,419,729) = ( 66 × 419 × 729 ) / 3

LCM(66,419,729) = 20159766 / 3

LCM(66,419,729) = 6719922


Lets's calculate GCF of 97,80,908

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6719922/1

Therefore the LCM of Fractions 66/97,419/80,729/908 is 6719922

Greatest Common Factor of 97,80,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,80,908 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 97,80,908 . The biggest common factor number is the GCF number.
So the greatest common factor 97,80,908 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 66/97, 419/80, 729/908

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 66/97, 419/80, 729/908?

Answer: LCM of Numerators as per given numbers 66/97, 419/80, 729/908 is

LCM of Numerators i.e. for 66,419,729 is 6719922

GCF of denominators i.e. for 97,80,908 is 1.

Thus, LCM of Fractions is 6719922.Finally, LCM of Fractions for 66/97, 419/80, 729/908 is 6719922.