Least Common Multiple of 12/608, 380/904, 705/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/608, 380/904, 705/580 quickly i.e. 13395 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/608, 380/904, 705/580 is 13395.

LCM(12/608, 380/904, 705/580) = 13395

LCM of 12/608, 380/904, 705/580

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 12/608,380/904,705/580

Given numbers are 12/608,380/904,705/580

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 12,380,705

Least Common Multiple of Numerators i.e. LCM of 12,380,705 is 53580.

GCF of Denominators means GCF of 608,904,580 as per the given fractions.

GCF of 608,904,580 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,380,705

LCM of Fractions 12/608,380/904,705/580 is 13395

2 12, 380, 705
2 6, 190, 705
3 3, 95, 705
5 1, 95, 235
1, 19, 47

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 19 x 47 = 53580

Least Common Multiple of 12,380,705 with GCF Formula

Least Common Multiple of 12,380,705 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 12,380,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,380,705) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(12,380,705) x common factors =1 x 60 = 60

LCM(12,380,705) = ( 12 × 380 × 705 ) / 60

LCM(12,380,705) = 3214800 / 60

LCM(12,380,705) = 53580


Lets's calculate GCF of 608,904,580

2 608, 904, 580
2 304, 452, 290
152, 226, 145

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53580/4

Therefore the LCM of Fractions 12/608,380/904,705/580 is 13395

Greatest Common Factor of 608,904,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,904,580 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 608,904,580 . The biggest common factor number is the GCF number.
So the greatest common factor 608,904,580 is 4.


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 12/608, 380/904, 705/580

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 12/608, 380/904, 705/580?

Answer: LCM of Numerators as per given numbers 12/608, 380/904, 705/580 is

LCM of Numerators i.e. for 12,380,705 is 53580

GCF of denominators i.e. for 608,904,580 is 4.

Thus, LCM of Fractions is 13395.Finally, LCM of Fractions for 12/608, 380/904, 705/580 is 13395.