Least Common Multiple of 130/15, 549/30, 334/885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 130/15, 549/30, 334/885 quickly i.e. 794586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 130/15, 549/30, 334/885 is 794586.

LCM(130/15, 549/30, 334/885) = 794586

LCM of 130/15, 549/30, 334/885

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 130/15,549/30,334/885

Given numbers are 130/15,549/30,334/885

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 130,549,334

Least Common Multiple of Numerators i.e. LCM of 130,549,334 is 11918790.

GCF of Denominators means GCF of 15,30,885 as per the given fractions.

GCF of 15,30,885 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 130,549,334

LCM of Fractions 130/15,549/30,334/885 is 794586

2 130, 549, 334
65, 549, 167

∴ So the LCM of the given numbers is 2 x 65 x 549 x 167 = 11918790

Least Common Multiple of 130,549,334 with GCF Formula

Least Common Multiple of 130,549,334 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 130,549,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,549,334) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(130,549,334) x common factors =1 x 2 = 2

LCM(130,549,334) = ( 130 × 549 × 334 ) / 2

LCM(130,549,334) = 23837580 / 2

LCM(130,549,334) = 11918790


Lets's calculate GCF of 15,30,885

3 15, 30, 885
5 5, 10, 295
1, 2, 59

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11918790/15

Therefore the LCM of Fractions 130/15,549/30,334/885 is 794586

Greatest Common Factor of 15,30,885 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,30,885 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 15,30,885 . The biggest common factor number is the GCF number.
So the greatest common factor 15,30,885 is 15.


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 130/15, 549/30, 334/885

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 130/15, 549/30, 334/885?

Answer: LCM of Numerators as per given numbers 130/15, 549/30, 334/885 is

LCM of Numerators i.e. for 130,549,334 is 11918790

GCF of denominators i.e. for 15,30,885 is 15.

Thus, LCM of Fractions is 794586.Finally, LCM of Fractions for 130/15, 549/30, 334/885 is 794586.