Least Common Multiple of 24/69, 42/70, 142/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/69, 42/70, 142/678 quickly i.e. 11928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/69, 42/70, 142/678 is 11928.

LCM(24/69, 42/70, 142/678) = 11928

LCM of 24/69, 42/70, 142/678

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 24/69,42/70,142/678

Given numbers are 24/69,42/70,142/678

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 24,42,142

Least Common Multiple of Numerators i.e. LCM of 24,42,142 is 11928.

GCF of Denominators means GCF of 69,70,678 as per the given fractions.

GCF of 69,70,678 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,42,142

LCM of Fractions 24/69,42/70,142/678 is 11928

2 24, 42, 142
3 12, 21, 71
4, 7, 71

∴ So the LCM of the given numbers is 2 x 3 x 4 x 7 x 71 = 11928

Least Common Multiple of 24,42,142 with GCF Formula

Least Common Multiple of 24,42,142 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 24,42,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,42,142) = 2

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

GCF(24,42,142) x common factors =2 x 6 = 12

LCM(24,42,142) = ( 24 × 42 × 142 ) / 12

LCM(24,42,142) = 143136 / 12

LCM(24,42,142) = 11928


Lets's calculate GCF of 69,70,678

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11928/1

Therefore the LCM of Fractions 24/69,42/70,142/678 is 11928

Greatest Common Factor of 69,70,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,70,678 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 70

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

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

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 69,70,678 . The biggest common factor number is the GCF number.
So the greatest common factor 69,70,678 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 24/69, 42/70, 142/678

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 24/69, 42/70, 142/678?

Answer: LCM of Numerators as per given numbers 24/69, 42/70, 142/678 is

LCM of Numerators i.e. for 24,42,142 is 11928

GCF of denominators i.e. for 69,70,678 is 1.

Thus, LCM of Fractions is 11928.Finally, LCM of Fractions for 24/69, 42/70, 142/678 is 11928.