Least Common Multiple of 423/90, 2596/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 423/90, 2596/222 quickly i.e. 183018 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 423/90, 2596/222 is 183018.

LCM(423/90, 2596/222) = 183018

LCM of 423/90, 2596/222

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 423/90,2596/222

Given numbers are 423/90,2596/222

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 423,2596

Least Common Multiple of Numerators i.e. LCM of 423,2596 is 1098108.

GCF of Denominators means GCF of 90,222 as per the given fractions.

GCF of 90,222 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 423,2596

LCM of Fractions 423/90,2596/222 is 183018

Given numbers has no common factors except 1. So, there LCM is their product i.e 1098108

Least Common Multiple of 423,2596 with GCF Formula

Least Common Multiple of 423,2596 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 423,2596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,2596) = 1

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

GCF(423,2596) x common factors =1 x 1 = 1

LCM(423,2596) = ( 423 × 2596 ) / 1

LCM(423,2596) = 1098108 / 1

LCM(423,2596) = 1098108


Lets's calculate GCF of 90,222

2 90, 222
3 45, 111
15, 37

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1098108/6

Therefore the LCM of Fractions 423/90,2596/222 is 183018

Greatest Common Factor of 90,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,222 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 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 90,222 . The biggest common factor number is the GCF number.
So the greatest common factor 90,222 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 423/90, 2596/222

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 423/90, 2596/222?

Answer: LCM of Numerators as per given numbers 423/90, 2596/222 is

LCM of Numerators i.e. for 423,2596 is 1098108

GCF of denominators i.e. for 90,222 is 6.

Thus, LCM of Fractions is 183018.Finally, LCM of Fractions for 423/90, 2596/222 is 183018.