Least Common Multiple of 334/23, 428/9087

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 334/23, 428/9087 quickly i.e. 71476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 334/23, 428/9087 is 71476.

LCM(334/23, 428/9087) = 71476

LCM of 334/23, 428/9087

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 334/23,428/9087

Given numbers are 334/23,428/9087

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 334,428

Least Common Multiple of Numerators i.e. LCM of 334,428 is 71476.

GCF of Denominators means GCF of 23,9087 as per the given fractions.

GCF of 23,9087 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 334,428

LCM of Fractions 334/23,428/9087 is 71476

2 334, 428
167, 214

∴ So the LCM of the given numbers is 2 x 167 x 214 = 71476

Least Common Multiple of 334,428 with GCF Formula

Least Common Multiple of 334,428 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 334,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,428) = 2

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

GCF(334,428) x common factors =2 x 1 = 2

LCM(334,428) = ( 334 × 428 ) / 2

LCM(334,428) = 142952 / 2

LCM(334,428) = 71476


Lets's calculate GCF of 23,9087

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71476/1

Therefore the LCM of Fractions 334/23,428/9087 is 71476

Greatest Common Factor of 23,9087 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,9087 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 9087

List of positive integer factors of 9087 that divides 9087 without a remainder.

1,3,13,39,233,699,3029,9087

Greatest Common Factor

We found the factors 23,9087 . The biggest common factor number is the GCF number.
So the greatest common factor 23,9087 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 334/23, 428/9087

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 334/23, 428/9087?

Answer: LCM of Numerators as per given numbers 334/23, 428/9087 is

LCM of Numerators i.e. for 334,428 is 71476

GCF of denominators i.e. for 23,9087 is 1.

Thus, LCM of Fractions is 71476.Finally, LCM of Fractions for 334/23, 428/9087 is 71476.