Least Common Multiple of 19/29, 35/73, 971/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/29, 35/73, 971/133 quickly i.e. 645715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/29, 35/73, 971/133 is 645715.

LCM(19/29, 35/73, 971/133) = 645715

LCM of 19/29, 35/73, 971/133

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 19/29,35/73,971/133

Given numbers are 19/29,35/73,971/133

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 19,35,971

Least Common Multiple of Numerators i.e. LCM of 19,35,971 is 645715.

GCF of Denominators means GCF of 29,73,133 as per the given fractions.

GCF of 29,73,133 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,35,971

LCM of Fractions 19/29,35/73,971/133 is 645715

Given numbers has no common factors except 1. So, there LCM is their product i.e 645715

Least Common Multiple of 19,35,971 with GCF Formula

Least Common Multiple of 19,35,971 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 19,35,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,35,971) = 1

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

GCF(19,35,971) x common factors =1 x 1 = 1

LCM(19,35,971) = ( 19 × 35 × 971 ) / 1

LCM(19,35,971) = 645715 / 1

LCM(19,35,971) = 645715


Lets's calculate GCF of 29,73,133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 645715/1

Therefore the LCM of Fractions 19/29,35/73,971/133 is 645715

Greatest Common Factor of 29,73,133 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,73,133 By Matching Biggest Common Factor Method

Factors of 29

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

1,29

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Greatest Common Factor

We found the factors 29,73,133 . The biggest common factor number is the GCF number.
So the greatest common factor 29,73,133 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 19/29, 35/73, 971/133

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 19/29, 35/73, 971/133?

Answer: LCM of Numerators as per given numbers 19/29, 35/73, 971/133 is

LCM of Numerators i.e. for 19,35,971 is 645715

GCF of denominators i.e. for 29,73,133 is 1.

Thus, LCM of Fractions is 645715.Finally, LCM of Fractions for 19/29, 35/73, 971/133 is 645715.