Least Common Multiple of 334/75, 559/9460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 334/75, 559/9460 quickly i.e. 186706/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 334/75, 559/9460 is 186706/5.

LCM(334/75, 559/9460) = 186706/5

LCM of 334/75, 559/9460

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 334/75,559/9460

Given numbers are 334/75,559/9460

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 334,559

Least Common Multiple of Numerators i.e. LCM of 334,559 is 186706.

GCF of Denominators means GCF of 75,9460 as per the given fractions.

GCF of 75,9460 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 334,559

LCM of Fractions 334/75,559/9460 is 186706/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 186706

Least Common Multiple of 334,559 with GCF Formula

Least Common Multiple of 334,559 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 334,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,559) = 1

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

GCF(334,559) x common factors =1 x 1 = 1

LCM(334,559) = ( 334 × 559 ) / 1

LCM(334,559) = 186706 / 1

LCM(334,559) = 186706


Lets's calculate GCF of 75,9460

5 75, 9460
15, 1892

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186706/5

Therefore the LCM of Fractions 334/75,559/9460 is 186706/5

Greatest Common Factor of 75,9460 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,9460 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 9460

List of positive integer factors of 9460 that divides 9460 without a remainder.

1,2,4,5,10,11,20,22,43,44,55,86,110,172,215,220,430,473,860,946,1892,2365,4730,9460

Greatest Common Factor

We found the factors 75,9460 . The biggest common factor number is the GCF number.
So the greatest common factor 75,9460 is 5.


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 334/75, 559/9460

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 334/75, 559/9460?

Answer: LCM of Numerators as per given numbers 334/75, 559/9460 is

LCM of Numerators i.e. for 334,559 is 186706

GCF of denominators i.e. for 75,9460 is 5.

Thus, LCM of Fractions is 186706/5.Finally, LCM of Fractions for 334/75, 559/9460 is 186706/5.