Least Common Multiple of 912/309, 920/545, 249/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 912/309, 920/545, 249/180 quickly i.e. 8705040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 912/309, 920/545, 249/180 is 8705040.

LCM(912/309, 920/545, 249/180) = 8705040

LCM of 912/309, 920/545, 249/180

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 912/309,920/545,249/180

Given numbers are 912/309,920/545,249/180

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 912,920,249

Least Common Multiple of Numerators i.e. LCM of 912,920,249 is 8705040.

GCF of Denominators means GCF of 309,545,180 as per the given fractions.

GCF of 309,545,180 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 912,920,249

LCM of Fractions 912/309,920/545,249/180 is 8705040

2 912, 920, 249
2 456, 460, 249
2 228, 230, 249
3 114, 115, 249
38, 115, 83

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 38 x 115 x 83 = 8705040

Least Common Multiple of 912,920,249 with GCF Formula

Least Common Multiple of 912,920,249 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 912,920,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,920,249) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(912,920,249) x common factors =1 x 24 = 24

LCM(912,920,249) = ( 912 × 920 × 249 ) / 24

LCM(912,920,249) = 208920960 / 24

LCM(912,920,249) = 8705040


Lets's calculate GCF of 309,545,180

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8705040/1

Therefore the LCM of Fractions 912/309,920/545,249/180 is 8705040

Greatest Common Factor of 309,545,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,545,180 By Matching Biggest Common Factor Method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 309,545,180 . The biggest common factor number is the GCF number.
So the greatest common factor 309,545,180 is 1.


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 912/309, 920/545, 249/180

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 912/309, 920/545, 249/180?

Answer: LCM of Numerators as per given numbers 912/309, 920/545, 249/180 is

LCM of Numerators i.e. for 912,920,249 is 8705040

GCF of denominators i.e. for 309,545,180 is 1.

Thus, LCM of Fractions is 8705040.Finally, LCM of Fractions for 912/309, 920/545, 249/180 is 8705040.