Least Common Multiple of 29/19, 74/11, 35/21, 13/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/19, 74/11, 35/21, 13/750 quickly i.e. 976430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/19, 74/11, 35/21, 13/750 is 976430.

LCM(29/19, 74/11, 35/21, 13/750) = 976430

LCM of 29/19, 74/11, 35/21, 13/750

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 29/19,74/11,35/21,13/750

Given numbers are 29/19,74/11,35/21,13/750

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 29,74,35,13

Least Common Multiple of Numerators i.e. LCM of 29,74,35,13 is 976430.

GCF of Denominators means GCF of 19,11,21,750 as per the given fractions.

GCF of 19,11,21,750 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,74,35,13

LCM of Fractions 29/19,74/11,35/21,13/750 is 976430

Given numbers has no common factors except 1. So, there LCM is their product i.e 976430

Least Common Multiple of 29,74,35,13 with GCF Formula

Least Common Multiple of 29,74,35,13 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 29,74,35,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,74,35,13) = 1

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

GCF(29,74,35,13) x common factors =1 x 1 = 1

LCM(29,74,35,13) = ( 29 × 74 × 35 × 13 ) / 1

LCM(29,74,35,13) = 976430 / 1

LCM(29,74,35,13) = 976430


Lets's calculate GCF of 19,11,21,750

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 976430/1

Therefore the LCM of Fractions 29/19,74/11,35/21,13/750 is 976430

Greatest Common Factor of 19,11,21,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,11,21,750 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 19,11,21,750 . The biggest common factor number is the GCF number.
So the greatest common factor 19,11,21,750 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 29/19, 74/11, 35/21, 13/750

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 29/19, 74/11, 35/21, 13/750?

Answer: LCM of Numerators as per given numbers 29/19, 74/11, 35/21, 13/750 is

LCM of Numerators i.e. for 29,74,35,13 is 976430

GCF of denominators i.e. for 19,11,21,750 is 1.

Thus, LCM of Fractions is 976430.Finally, LCM of Fractions for 29/19, 74/11, 35/21, 13/750 is 976430.