Least Common Multiple of 74/138, 111/571, 190/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/138, 111/571, 190/160 quickly i.e. 21090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/138, 111/571, 190/160 is 21090.

LCM(74/138, 111/571, 190/160) = 21090

LCM of 74/138, 111/571, 190/160

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 74/138,111/571,190/160

Given numbers are 74/138,111/571,190/160

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 74,111,190

Least Common Multiple of Numerators i.e. LCM of 74,111,190 is 21090.

GCF of Denominators means GCF of 138,571,160 as per the given fractions.

GCF of 138,571,160 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,111,190

LCM of Fractions 74/138,111/571,190/160 is 21090

2 74, 111, 190
37 37, 111, 95
1, 3, 95

∴ So the LCM of the given numbers is 2 x 37 x 1 x 3 x 95 = 21090

Least Common Multiple of 74,111,190 with GCF Formula

Least Common Multiple of 74,111,190 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 74,111,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,111,190) = 1

common factors(in case of two or more numbers have common factors) = 74

GCF(74,111,190) x common factors =1 x 74 = 74

LCM(74,111,190) = ( 74 × 111 × 190 ) / 74

LCM(74,111,190) = 1560660 / 74

LCM(74,111,190) = 21090


Lets's calculate GCF of 138,571,160

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21090/1

Therefore the LCM of Fractions 74/138,111/571,190/160 is 21090

Greatest Common Factor of 138,571,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,571,160 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 138,571,160 . The biggest common factor number is the GCF number.
So the greatest common factor 138,571,160 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 74/138, 111/571, 190/160

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 74/138, 111/571, 190/160?

Answer: LCM of Numerators as per given numbers 74/138, 111/571, 190/160 is

LCM of Numerators i.e. for 74,111,190 is 21090

GCF of denominators i.e. for 138,571,160 is 1.

Thus, LCM of Fractions is 21090.Finally, LCM of Fractions for 74/138, 111/571, 190/160 is 21090.