Least Common Multiple of 67/24, 69/93, 542/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/24, 69/93, 542/138 quickly i.e. 835222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/24, 69/93, 542/138 is 835222.

LCM(67/24, 69/93, 542/138) = 835222

LCM of 67/24, 69/93, 542/138

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 67/24,69/93,542/138

Given numbers are 67/24,69/93,542/138

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 67,69,542

Least Common Multiple of Numerators i.e. LCM of 67,69,542 is 2505666.

GCF of Denominators means GCF of 24,93,138 as per the given fractions.

GCF of 24,93,138 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,69,542

LCM of Fractions 67/24,69/93,542/138 is 835222

Given numbers has no common factors except 1. So, there LCM is their product i.e 2505666

Least Common Multiple of 67,69,542 with GCF Formula

Least Common Multiple of 67,69,542 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 67,69,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,69,542) = 1

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

GCF(67,69,542) x common factors =1 x 1 = 1

LCM(67,69,542) = ( 67 × 69 × 542 ) / 1

LCM(67,69,542) = 2505666 / 1

LCM(67,69,542) = 2505666


Lets's calculate GCF of 24,93,138

3 24, 93, 138
8, 31, 46

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2505666/3

Therefore the LCM of Fractions 67/24,69/93,542/138 is 835222

Greatest Common Factor of 24,93,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,93,138 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 24,93,138 . The biggest common factor number is the GCF number.
So the greatest common factor 24,93,138 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 67/24, 69/93, 542/138

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 67/24, 69/93, 542/138?

Answer: LCM of Numerators as per given numbers 67/24, 69/93, 542/138 is

LCM of Numerators i.e. for 67,69,542 is 2505666

GCF of denominators i.e. for 24,93,138 is 3.

Thus, LCM of Fractions is 835222.Finally, LCM of Fractions for 67/24, 69/93, 542/138 is 835222.