Least Common Multiple of 42/342, 1304/9273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/342, 1304/9273 quickly i.e. 9128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/342, 1304/9273 is 9128.

LCM(42/342, 1304/9273) = 9128

LCM of 42/342, 1304/9273

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 42/342,1304/9273

Given numbers are 42/342,1304/9273

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 42,1304

Least Common Multiple of Numerators i.e. LCM of 42,1304 is 27384.

GCF of Denominators means GCF of 342,9273 as per the given fractions.

GCF of 342,9273 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,1304

LCM of Fractions 42/342,1304/9273 is 9128

2 42, 1304
21, 652

∴ So the LCM of the given numbers is 2 x 21 x 652 = 27384

Least Common Multiple of 42,1304 with GCF Formula

Least Common Multiple of 42,1304 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 42,1304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,1304) = 2

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

GCF(42,1304) x common factors =2 x 1 = 2

LCM(42,1304) = ( 42 × 1304 ) / 2

LCM(42,1304) = 54768 / 2

LCM(42,1304) = 27384


Lets's calculate GCF of 342,9273

3 342, 9273
114, 3091

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27384/3

Therefore the LCM of Fractions 42/342,1304/9273 is 9128

Greatest Common Factor of 342,9273 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,9273 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 9273

List of positive integer factors of 9273 that divides 9273 without a remainder.

1,3,11,33,281,843,3091,9273

Greatest Common Factor

We found the factors 342,9273 . The biggest common factor number is the GCF number.
So the greatest common factor 342,9273 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 42/342, 1304/9273

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 42/342, 1304/9273?

Answer: LCM of Numerators as per given numbers 42/342, 1304/9273 is

LCM of Numerators i.e. for 42,1304 is 27384

GCF of denominators i.e. for 342,9273 is 3.

Thus, LCM of Fractions is 9128.Finally, LCM of Fractions for 42/342, 1304/9273 is 9128.