Least Common Multiple of 90/852, 12/558, 606/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/852, 12/558, 606/346 quickly i.e. 9090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/852, 12/558, 606/346 is 9090.

LCM(90/852, 12/558, 606/346) = 9090

LCM of 90/852, 12/558, 606/346

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 90/852,12/558,606/346

Given numbers are 90/852,12/558,606/346

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 90,12,606

Least Common Multiple of Numerators i.e. LCM of 90,12,606 is 18180.

GCF of Denominators means GCF of 852,558,346 as per the given fractions.

GCF of 852,558,346 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,12,606

LCM of Fractions 90/852,12/558,606/346 is 9090

2 90, 12, 606
3 45, 6, 303
15, 2, 101

∴ So the LCM of the given numbers is 2 x 3 x 15 x 2 x 101 = 18180

Least Common Multiple of 90,12,606 with GCF Formula

Least Common Multiple of 90,12,606 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 90,12,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,12,606) = 6

common factors(in case of two or more numbers have common factors) = 6

GCF(90,12,606) x common factors =6 x 6 = 36

LCM(90,12,606) = ( 90 × 12 × 606 ) / 36

LCM(90,12,606) = 654480 / 36

LCM(90,12,606) = 18180


Lets's calculate GCF of 852,558,346

2 852, 558, 346
426, 279, 173

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18180/2

Therefore the LCM of Fractions 90/852,12/558,606/346 is 9090

Greatest Common Factor of 852,558,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,558,346 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 852,558,346 . The biggest common factor number is the GCF number.
So the greatest common factor 852,558,346 is 2.


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 90/852, 12/558, 606/346

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 90/852, 12/558, 606/346?

Answer: LCM of Numerators as per given numbers 90/852, 12/558, 606/346 is

LCM of Numerators i.e. for 90,12,606 is 18180

GCF of denominators i.e. for 852,558,346 is 2.

Thus, LCM of Fractions is 9090.Finally, LCM of Fractions for 90/852, 12/558, 606/346 is 9090.