Least Common Multiple of 342/84, 432/34, 283/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 342/84, 432/34, 283/734 quickly i.e. 1161432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 342/84, 432/34, 283/734 is 1161432.

LCM(342/84, 432/34, 283/734) = 1161432

LCM of 342/84, 432/34, 283/734

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 342/84,432/34,283/734

Given numbers are 342/84,432/34,283/734

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 342,432,283

Least Common Multiple of Numerators i.e. LCM of 342,432,283 is 2322864.

GCF of Denominators means GCF of 84,34,734 as per the given fractions.

GCF of 84,34,734 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 342,432,283

LCM of Fractions 342/84,432/34,283/734 is 1161432

2 342, 432, 283
3 171, 216, 283
3 57, 72, 283
19, 24, 283

∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 x 24 x 283 = 2322864

Least Common Multiple of 342,432,283 with GCF Formula

Least Common Multiple of 342,432,283 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 342,432,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,432,283) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(342,432,283) x common factors =1 x 18 = 18

LCM(342,432,283) = ( 342 × 432 × 283 ) / 18

LCM(342,432,283) = 41811552 / 18

LCM(342,432,283) = 2322864


Lets's calculate GCF of 84,34,734

2 84, 34, 734
42, 17, 367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2322864/2

Therefore the LCM of Fractions 342/84,432/34,283/734 is 1161432

Greatest Common Factor of 84,34,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,34,734 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 734

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

1,2,367,734

Greatest Common Factor

We found the factors 84,34,734 . The biggest common factor number is the GCF number.
So the greatest common factor 84,34,734 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 342/84, 432/34, 283/734

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 342/84, 432/34, 283/734?

Answer: LCM of Numerators as per given numbers 342/84, 432/34, 283/734 is

LCM of Numerators i.e. for 342,432,283 is 2322864

GCF of denominators i.e. for 84,34,734 is 2.

Thus, LCM of Fractions is 1161432.Finally, LCM of Fractions for 342/84, 432/34, 283/734 is 1161432.