Least Common Multiple of 90/55, 101/80, 200/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/55, 101/80, 200/254 quickly i.e. 181800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/55, 101/80, 200/254 is 181800.

LCM(90/55, 101/80, 200/254) = 181800

LCM of 90/55, 101/80, 200/254

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 90/55,101/80,200/254

Given numbers are 90/55,101/80,200/254

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 90,101,200

Least Common Multiple of Numerators i.e. LCM of 90,101,200 is 181800.

GCF of Denominators means GCF of 55,80,254 as per the given fractions.

GCF of 55,80,254 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,101,200

LCM of Fractions 90/55,101/80,200/254 is 181800

2 90, 101, 200
5 45, 101, 100
9, 101, 20

∴ So the LCM of the given numbers is 2 x 5 x 9 x 101 x 20 = 181800

Least Common Multiple of 90,101,200 with GCF Formula

Least Common Multiple of 90,101,200 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 90,101,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,101,200) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(90,101,200) x common factors =1 x 10 = 10

LCM(90,101,200) = ( 90 × 101 × 200 ) / 10

LCM(90,101,200) = 1818000 / 10

LCM(90,101,200) = 181800


Lets's calculate GCF of 55,80,254

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181800/1

Therefore the LCM of Fractions 90/55,101/80,200/254 is 181800

Greatest Common Factor of 55,80,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,80,254 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Greatest Common Factor

We found the factors 55,80,254 . The biggest common factor number is the GCF number.
So the greatest common factor 55,80,254 is 1.


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 90/55, 101/80, 200/254

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 90/55, 101/80, 200/254?

Answer: LCM of Numerators as per given numbers 90/55, 101/80, 200/254 is

LCM of Numerators i.e. for 90,101,200 is 181800

GCF of denominators i.e. for 55,80,254 is 1.

Thus, LCM of Fractions is 181800.Finally, LCM of Fractions for 90/55, 101/80, 200/254 is 181800.