Least Common Multiple of 904/987, 717/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 904/987, 717/894 quickly i.e. 216056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 904/987, 717/894 is 216056.

LCM(904/987, 717/894) = 216056

LCM of 904/987, 717/894

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 904/987,717/894

Given numbers are 904/987,717/894

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 904,717

Least Common Multiple of Numerators i.e. LCM of 904,717 is 648168.

GCF of Denominators means GCF of 987,894 as per the given fractions.

GCF of 987,894 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 904,717

LCM of Fractions 904/987,717/894 is 216056

Given numbers has no common factors except 1. So, there LCM is their product i.e 648168

Least Common Multiple of 904,717 with GCF Formula

Least Common Multiple of 904,717 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 904,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,717) = 1

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

GCF(904,717) x common factors =1 x 1 = 1

LCM(904,717) = ( 904 × 717 ) / 1

LCM(904,717) = 648168 / 1

LCM(904,717) = 648168


Lets's calculate GCF of 987,894

3 987, 894
329, 298

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 648168/3

Therefore the LCM of Fractions 904/987,717/894 is 216056

Greatest Common Factor of 987,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,894 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 987,894 . The biggest common factor number is the GCF number.
So the greatest common factor 987,894 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 904/987, 717/894

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 904/987, 717/894?

Answer: LCM of Numerators as per given numbers 904/987, 717/894 is

LCM of Numerators i.e. for 904,717 is 648168

GCF of denominators i.e. for 987,894 is 3.

Thus, LCM of Fractions is 216056.Finally, LCM of Fractions for 904/987, 717/894 is 216056.