Least Common Multiple of 312/90, 8985/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/90, 8985/612 quickly i.e. 934440/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/90, 8985/612 is 934440/18.

LCM(312/90, 8985/612) = 934440/18

LCM of 312/90, 8985/612

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 312/90,8985/612

Given numbers are 312/90,8985/612

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 312,8985

Least Common Multiple of Numerators i.e. LCM of 312,8985 is 934440.

GCF of Denominators means GCF of 90,612 as per the given fractions.

GCF of 90,612 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,8985

LCM of Fractions 312/90,8985/612 is 934440/18

3 312, 8985
104, 2995

∴ So the LCM of the given numbers is 3 x 104 x 2995 = 934440

Least Common Multiple of 312,8985 with GCF Formula

Least Common Multiple of 312,8985 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 312,8985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,8985) = 3

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

GCF(312,8985) x common factors =3 x 1 = 3

LCM(312,8985) = ( 312 × 8985 ) / 3

LCM(312,8985) = 2803320 / 3

LCM(312,8985) = 934440


Lets's calculate GCF of 90,612

2 90, 612
3 45, 306
3 15, 102
5, 34

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 934440/18

Therefore the LCM of Fractions 312/90,8985/612 is 934440/18

Greatest Common Factor of 90,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,612 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 90,612 . The biggest common factor number is the GCF number.
So the greatest common factor 90,612 is 18.


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 312/90, 8985/612

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 312/90, 8985/612?

Answer: LCM of Numerators as per given numbers 312/90, 8985/612 is

LCM of Numerators i.e. for 312,8985 is 934440

GCF of denominators i.e. for 90,612 is 18.

Thus, LCM of Fractions is 934440/18.Finally, LCM of Fractions for 312/90, 8985/612 is 934440/18.