Least Common Multiple of 29/372, 30/510, 111/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/372, 30/510, 111/945 quickly i.e. 10730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/372, 30/510, 111/945 is 10730.

LCM(29/372, 30/510, 111/945) = 10730

LCM of 29/372, 30/510, 111/945

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 29/372,30/510,111/945

Given numbers are 29/372,30/510,111/945

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 29,30,111

Least Common Multiple of Numerators i.e. LCM of 29,30,111 is 32190.

GCF of Denominators means GCF of 372,510,945 as per the given fractions.

GCF of 372,510,945 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,30,111

LCM of Fractions 29/372,30/510,111/945 is 10730

3 29, 30, 111
29, 10, 37

∴ So the LCM of the given numbers is 3 x 29 x 10 x 37 = 32190

Least Common Multiple of 29,30,111 with GCF Formula

Least Common Multiple of 29,30,111 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 29,30,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,30,111) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(29,30,111) x common factors =1 x 3 = 3

LCM(29,30,111) = ( 29 × 30 × 111 ) / 3

LCM(29,30,111) = 96570 / 3

LCM(29,30,111) = 32190


Lets's calculate GCF of 372,510,945

3 372, 510, 945
124, 170, 315

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32190/3

Therefore the LCM of Fractions 29/372,30/510,111/945 is 10730

Greatest Common Factor of 372,510,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 372,510,945 By Matching Biggest Common Factor Method

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 372,510,945 . The biggest common factor number is the GCF number.
So the greatest common factor 372,510,945 is 3.


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 29/372, 30/510, 111/945

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 29/372, 30/510, 111/945?

Answer: LCM of Numerators as per given numbers 29/372, 30/510, 111/945 is

LCM of Numerators i.e. for 29,30,111 is 32190

GCF of denominators i.e. for 372,510,945 is 3.

Thus, LCM of Fractions is 10730.Finally, LCM of Fractions for 29/372, 30/510, 111/945 is 10730.