Least Common Multiple of 12/69, 34/824, 108/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/69, 34/824, 108/198 quickly i.e. 1836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/69, 34/824, 108/198 is 1836.

LCM(12/69, 34/824, 108/198) = 1836

LCM of 12/69, 34/824, 108/198

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 12/69,34/824,108/198

Given numbers are 12/69,34/824,108/198

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 12,34,108

Least Common Multiple of Numerators i.e. LCM of 12,34,108 is 1836.

GCF of Denominators means GCF of 69,824,198 as per the given fractions.

GCF of 69,824,198 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,34,108

LCM of Fractions 12/69,34/824,108/198 is 1836

2 12, 34, 108
2 6, 17, 54
3 3, 17, 27
1, 17, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 17 x 9 = 1836

Least Common Multiple of 12,34,108 with GCF Formula

Least Common Multiple of 12,34,108 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 12,34,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,34,108) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(12,34,108) x common factors =2 x 12 = 24

LCM(12,34,108) = ( 12 × 34 × 108 ) / 24

LCM(12,34,108) = 44064 / 24

LCM(12,34,108) = 1836


Lets's calculate GCF of 69,824,198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1836/1

Therefore the LCM of Fractions 12/69,34/824,108/198 is 1836

Greatest Common Factor of 69,824,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,824,198 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 69,824,198 . The biggest common factor number is the GCF number.
So the greatest common factor 69,824,198 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 12/69, 34/824, 108/198

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 12/69, 34/824, 108/198?

Answer: LCM of Numerators as per given numbers 12/69, 34/824, 108/198 is

LCM of Numerators i.e. for 12,34,108 is 1836

GCF of denominators i.e. for 69,824,198 is 1.

Thus, LCM of Fractions is 1836.Finally, LCM of Fractions for 12/69, 34/824, 108/198 is 1836.