Least Common Multiple of 55/90, 74/75, 19/881

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/90, 74/75, 19/881 quickly i.e. 77330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/90, 74/75, 19/881 is 77330.

LCM(55/90, 74/75, 19/881) = 77330

LCM of 55/90, 74/75, 19/881

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 55/90,74/75,19/881

Given numbers are 55/90,74/75,19/881

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 55,74,19

Least Common Multiple of Numerators i.e. LCM of 55,74,19 is 77330.

GCF of Denominators means GCF of 90,75,881 as per the given fractions.

GCF of 90,75,881 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,74,19

LCM of Fractions 55/90,74/75,19/881 is 77330

Given numbers has no common factors except 1. So, there LCM is their product i.e 77330

Least Common Multiple of 55,74,19 with GCF Formula

Least Common Multiple of 55,74,19 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 55,74,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,74,19) = 1

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

GCF(55,74,19) x common factors =1 x 1 = 1

LCM(55,74,19) = ( 55 × 74 × 19 ) / 1

LCM(55,74,19) = 77330 / 1

LCM(55,74,19) = 77330


Lets's calculate GCF of 90,75,881

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77330/1

Therefore the LCM of Fractions 55/90,74/75,19/881 is 77330

Greatest Common Factor of 90,75,881 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,75,881 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 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 881

List of positive integer factors of 881 that divides 881 without a remainder.

1,881

Greatest Common Factor

We found the factors 90,75,881 . The biggest common factor number is the GCF number.
So the greatest common factor 90,75,881 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 55/90, 74/75, 19/881

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 55/90, 74/75, 19/881?

Answer: LCM of Numerators as per given numbers 55/90, 74/75, 19/881 is

LCM of Numerators i.e. for 55,74,19 is 77330

GCF of denominators i.e. for 90,75,881 is 1.

Thus, LCM of Fractions is 77330.Finally, LCM of Fractions for 55/90, 74/75, 19/881 is 77330.