Least Common Multiple of 37/90, 68/42, 969/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/90, 68/42, 969/191 quickly i.e. 143412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/90, 68/42, 969/191 is 143412.

LCM(37/90, 68/42, 969/191) = 143412

LCM of 37/90, 68/42, 969/191

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 37/90,68/42,969/191

Given numbers are 37/90,68/42,969/191

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 37,68,969

Least Common Multiple of Numerators i.e. LCM of 37,68,969 is 143412.

GCF of Denominators means GCF of 90,42,191 as per the given fractions.

GCF of 90,42,191 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,68,969

LCM of Fractions 37/90,68/42,969/191 is 143412

17 37, 68, 969
37, 4, 57

∴ So the LCM of the given numbers is 17 x 37 x 4 x 57 = 143412

Least Common Multiple of 37,68,969 with GCF Formula

Least Common Multiple of 37,68,969 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 37,68,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,68,969) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(37,68,969) x common factors =1 x 17 = 17

LCM(37,68,969) = ( 37 × 68 × 969 ) / 17

LCM(37,68,969) = 2438004 / 17

LCM(37,68,969) = 143412


Lets's calculate GCF of 90,42,191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143412/1

Therefore the LCM of Fractions 37/90,68/42,969/191 is 143412

Greatest Common Factor of 90,42,191 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,42,191 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 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Greatest Common Factor

We found the factors 90,42,191 . The biggest common factor number is the GCF number.
So the greatest common factor 90,42,191 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 37/90, 68/42, 969/191

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 37/90, 68/42, 969/191?

Answer: LCM of Numerators as per given numbers 37/90, 68/42, 969/191 is

LCM of Numerators i.e. for 37,68,969 is 143412

GCF of denominators i.e. for 90,42,191 is 1.

Thus, LCM of Fractions is 143412.Finally, LCM of Fractions for 37/90, 68/42, 969/191 is 143412.