Least Common Multiple of 42/734, 36/331, 179/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/734, 36/331, 179/838 quickly i.e. 45108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/734, 36/331, 179/838 is 45108.

LCM(42/734, 36/331, 179/838) = 45108

LCM of 42/734, 36/331, 179/838

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 42/734,36/331,179/838

Given numbers are 42/734,36/331,179/838

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 42,36,179

Least Common Multiple of Numerators i.e. LCM of 42,36,179 is 45108.

GCF of Denominators means GCF of 734,331,838 as per the given fractions.

GCF of 734,331,838 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,36,179

LCM of Fractions 42/734,36/331,179/838 is 45108

2 42, 36, 179
3 21, 18, 179
7, 6, 179

∴ So the LCM of the given numbers is 2 x 3 x 7 x 6 x 179 = 45108

Least Common Multiple of 42,36,179 with GCF Formula

Least Common Multiple of 42,36,179 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 42,36,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,36,179) = 1

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

GCF(42,36,179) x common factors =1 x 6 = 6

LCM(42,36,179) = ( 42 × 36 × 179 ) / 6

LCM(42,36,179) = 270648 / 6

LCM(42,36,179) = 45108


Lets's calculate GCF of 734,331,838

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45108/1

Therefore the LCM of Fractions 42/734,36/331,179/838 is 45108

Greatest Common Factor of 734,331,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,331,838 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 734,331,838 . The biggest common factor number is the GCF number.
So the greatest common factor 734,331,838 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 42/734, 36/331, 179/838

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 42/734, 36/331, 179/838?

Answer: LCM of Numerators as per given numbers 42/734, 36/331, 179/838 is

LCM of Numerators i.e. for 42,36,179 is 45108

GCF of denominators i.e. for 734,331,838 is 1.

Thus, LCM of Fractions is 45108.Finally, LCM of Fractions for 42/734, 36/331, 179/838 is 45108.