Least Common Multiple of 902/12, 9217/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 902/12, 9217/738 quickly i.e. 8313734/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 902/12, 9217/738 is 8313734/6.

LCM(902/12, 9217/738) = 8313734/6

LCM of 902/12, 9217/738

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 902/12,9217/738

Given numbers are 902/12,9217/738

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 902,9217

Least Common Multiple of Numerators i.e. LCM of 902,9217 is 8313734.

GCF of Denominators means GCF of 12,738 as per the given fractions.

GCF of 12,738 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 902,9217

LCM of Fractions 902/12,9217/738 is 8313734/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 8313734

Least Common Multiple of 902,9217 with GCF Formula

Least Common Multiple of 902,9217 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 902,9217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(902,9217) = 1

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

GCF(902,9217) x common factors =1 x 1 = 1

LCM(902,9217) = ( 902 × 9217 ) / 1

LCM(902,9217) = 8313734 / 1

LCM(902,9217) = 8313734


Lets's calculate GCF of 12,738

2 12, 738
3 6, 369
2, 123

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8313734/6

Therefore the LCM of Fractions 902/12,9217/738 is 8313734/6

Greatest Common Factor of 12,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,738 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 12,738 . The biggest common factor number is the GCF number.
So the greatest common factor 12,738 is 6.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 902/12, 9217/738

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 902/12, 9217/738?

Answer: LCM of Numerators as per given numbers 902/12, 9217/738 is

LCM of Numerators i.e. for 902,9217 is 8313734

GCF of denominators i.e. for 12,738 is 6.

Thus, LCM of Fractions is 8313734/6.Finally, LCM of Fractions for 902/12, 9217/738 is 8313734/6.