Least Common Multiple of 168/24, 919/24, 942/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 168/24, 919/24, 942/842 quickly i.e. 12119772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 168/24, 919/24, 942/842 is 12119772.

LCM(168/24, 919/24, 942/842) = 12119772

LCM of 168/24, 919/24, 942/842

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 168/24,919/24,942/842

Given numbers are 168/24,919/24,942/842

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 168,919,942

Least Common Multiple of Numerators i.e. LCM of 168,919,942 is 24239544.

GCF of Denominators means GCF of 24,24,842 as per the given fractions.

GCF of 24,24,842 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 168,919,942

LCM of Fractions 168/24,919/24,942/842 is 12119772

2 168, 919, 942
3 84, 919, 471
28, 919, 157

∴ So the LCM of the given numbers is 2 x 3 x 28 x 919 x 157 = 24239544

Least Common Multiple of 168,919,942 with GCF Formula

Least Common Multiple of 168,919,942 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 168,919,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,919,942) = 1

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

GCF(168,919,942) x common factors =1 x 6 = 6

LCM(168,919,942) = ( 168 × 919 × 942 ) / 6

LCM(168,919,942) = 145437264 / 6

LCM(168,919,942) = 24239544


Lets's calculate GCF of 24,24,842

2 24, 24, 842
12, 12, 421

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24239544/2

Therefore the LCM of Fractions 168/24,919/24,942/842 is 12119772

Greatest Common Factor of 24,24,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,24,842 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 24

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

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

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 24,24,842 . The biggest common factor number is the GCF number.
So the greatest common factor 24,24,842 is 2.


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 168/24, 919/24, 942/842

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 168/24, 919/24, 942/842?

Answer: LCM of Numerators as per given numbers 168/24, 919/24, 942/842 is

LCM of Numerators i.e. for 168,919,942 is 24239544

GCF of denominators i.e. for 24,24,842 is 2.

Thus, LCM of Fractions is 12119772.Finally, LCM of Fractions for 168/24, 919/24, 942/842 is 12119772.