Least Common Multiple of 80/122, 717/991, 903/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 80/122, 717/991, 903/642 quickly i.e. 17265360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/122, 717/991, 903/642 is 17265360.

LCM(80/122, 717/991, 903/642) = 17265360

LCM of 80/122, 717/991, 903/642

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 80/122,717/991,903/642

Given numbers are 80/122,717/991,903/642

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 80,717,903

Least Common Multiple of Numerators i.e. LCM of 80,717,903 is 17265360.

GCF of Denominators means GCF of 122,991,642 as per the given fractions.

GCF of 122,991,642 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,717,903

LCM of Fractions 80/122,717/991,903/642 is 17265360

3 80, 717, 903
80, 239, 301

∴ So the LCM of the given numbers is 3 x 80 x 239 x 301 = 17265360

Least Common Multiple of 80,717,903 with GCF Formula

Least Common Multiple of 80,717,903 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 80,717,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,717,903) = 1

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

GCF(80,717,903) x common factors =1 x 3 = 3

LCM(80,717,903) = ( 80 × 717 × 903 ) / 3

LCM(80,717,903) = 51796080 / 3

LCM(80,717,903) = 17265360


Lets's calculate GCF of 122,991,642

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17265360/1

Therefore the LCM of Fractions 80/122,717/991,903/642 is 17265360

Greatest Common Factor of 122,991,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 122,991,642 By Matching Biggest Common Factor Method

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 122,991,642 . The biggest common factor number is the GCF number.
So the greatest common factor 122,991,642 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 80/122, 717/991, 903/642

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 80/122, 717/991, 903/642?

Answer: LCM of Numerators as per given numbers 80/122, 717/991, 903/642 is

LCM of Numerators i.e. for 80,717,903 is 17265360

GCF of denominators i.e. for 122,991,642 is 1.

Thus, LCM of Fractions is 17265360.Finally, LCM of Fractions for 80/122, 717/991, 903/642 is 17265360.