Least Common Multiple of 90/234, 2080/4617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/234, 2080/4617 quickly i.e. 2080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/234, 2080/4617 is 2080.

LCM(90/234, 2080/4617) = 2080

LCM of 90/234, 2080/4617

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 90/234,2080/4617

Given numbers are 90/234,2080/4617

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 90,2080

Least Common Multiple of Numerators i.e. LCM of 90,2080 is 18720.

GCF of Denominators means GCF of 234,4617 as per the given fractions.

GCF of 234,4617 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,2080

LCM of Fractions 90/234,2080/4617 is 2080

2 90, 2080
5 45, 1040
9, 208

∴ So the LCM of the given numbers is 2 x 5 x 9 x 208 = 18720

Least Common Multiple of 90,2080 with GCF Formula

Least Common Multiple of 90,2080 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 90,2080 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,2080) = 10

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

GCF(90,2080) x common factors =10 x 1 = 10

LCM(90,2080) = ( 90 × 2080 ) / 10

LCM(90,2080) = 187200 / 10

LCM(90,2080) = 18720


Lets's calculate GCF of 234,4617

3 234, 4617
3 78, 1539
26, 513

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18720/9

Therefore the LCM of Fractions 90/234,2080/4617 is 2080

Greatest Common Factor of 234,4617 By Matching Biggest Common Factor Method

Greatest Common Factor of 234,4617 By Matching Biggest Common Factor Method

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 4617

List of positive integer factors of 4617 that divides 4617 without a remainder.

1,3,9,19,27,57,81,171,243,513,1539,4617

Greatest Common Factor

We found the factors 234,4617 . The biggest common factor number is the GCF number.
So the greatest common factor 234,4617 is 9.


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 90/234, 2080/4617

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 90/234, 2080/4617?

Answer: LCM of Numerators as per given numbers 90/234, 2080/4617 is

LCM of Numerators i.e. for 90,2080 is 18720

GCF of denominators i.e. for 234,4617 is 9.

Thus, LCM of Fractions is 2080.Finally, LCM of Fractions for 90/234, 2080/4617 is 2080.