Least Common Multiple of 12/25, 29/75, 35/70, 54/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/25, 29/75, 35/70, 54/829 quickly i.e. 109620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/25, 29/75, 35/70, 54/829 is 109620.

LCM(12/25, 29/75, 35/70, 54/829) = 109620

LCM of 12/25, 29/75, 35/70, 54/829

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 12/25,29/75,35/70,54/829

Given numbers are 12/25,29/75,35/70,54/829

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 12,29,35,54

Least Common Multiple of Numerators i.e. LCM of 12,29,35,54 is 109620.

GCF of Denominators means GCF of 25,75,70,829 as per the given fractions.

GCF of 25,75,70,829 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,29,35,54

LCM of Fractions 12/25,29/75,35/70,54/829 is 109620

2 12, 29, 35, 54
3 6, 29, 35, 27
2, 29, 35, 9

∴ So the LCM of the given numbers is 2 x 3 x 2 x 29 x 35 x 9 = 109620

Least Common Multiple of 12,29,35,54 with GCF Formula

Least Common Multiple of 12,29,35,54 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 12,29,35,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,29,35,54) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(12,29,35,54) x common factors =1 x 6 = 6

LCM(12,29,35,54) = ( 12 × 29 × 35 × 54 ) / 6

LCM(12,29,35,54) = 657720 / 6

LCM(12,29,35,54) = 109620


Lets's calculate GCF of 25,75,70,829

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109620/1

Therefore the LCM of Fractions 12/25,29/75,35/70,54/829 is 109620

Greatest Common Factor of 25,75,70,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,75,70,829 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 25,75,70,829 . The biggest common factor number is the GCF number.
So the greatest common factor 25,75,70,829 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 12/25, 29/75, 35/70, 54/829

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 12/25, 29/75, 35/70, 54/829?

Answer: LCM of Numerators as per given numbers 12/25, 29/75, 35/70, 54/829 is

LCM of Numerators i.e. for 12,29,35,54 is 109620

GCF of denominators i.e. for 25,75,70,829 is 1.

Thus, LCM of Fractions is 109620.Finally, LCM of Fractions for 12/25, 29/75, 35/70, 54/829 is 109620.