Least Common Multiple of 142/90, 289/29, 505/76

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 142/90, 289/29, 505/76 quickly i.e. 20724190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 142/90, 289/29, 505/76 is 20724190.

LCM(142/90, 289/29, 505/76) = 20724190

LCM of 142/90, 289/29, 505/76

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 142/90,289/29,505/76

Given numbers are 142/90,289/29,505/76

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 142,289,505

Least Common Multiple of Numerators i.e. LCM of 142,289,505 is 20724190.

GCF of Denominators means GCF of 90,29,76 as per the given fractions.

GCF of 90,29,76 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 142,289,505

LCM of Fractions 142/90,289/29,505/76 is 20724190

Given numbers has no common factors except 1. So, there LCM is their product i.e 20724190

Least Common Multiple of 142,289,505 with GCF Formula

Least Common Multiple of 142,289,505 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 142,289,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,289,505) = 1

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

GCF(142,289,505) x common factors =1 x 1 = 1

LCM(142,289,505) = ( 142 × 289 × 505 ) / 1

LCM(142,289,505) = 20724190 / 1

LCM(142,289,505) = 20724190


Lets's calculate GCF of 90,29,76

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20724190/1

Therefore the LCM of Fractions 142/90,289/29,505/76 is 20724190

Greatest Common Factor of 90,29,76 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,29,76 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 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Greatest Common Factor

We found the factors 90,29,76 . The biggest common factor number is the GCF number.
So the greatest common factor 90,29,76 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 142/90, 289/29, 505/76

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 142/90, 289/29, 505/76?

Answer: LCM of Numerators as per given numbers 142/90, 289/29, 505/76 is

LCM of Numerators i.e. for 142,289,505 is 20724190

GCF of denominators i.e. for 90,29,76 is 1.

Thus, LCM of Fractions is 20724190.Finally, LCM of Fractions for 142/90, 289/29, 505/76 is 20724190.