Least Common Multiple of 607/22, 448/12, 880/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 607/22, 448/12, 880/180 quickly i.e. 7478240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 607/22, 448/12, 880/180 is 7478240.

LCM(607/22, 448/12, 880/180) = 7478240

LCM of 607/22, 448/12, 880/180

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 607/22,448/12,880/180

Given numbers are 607/22,448/12,880/180

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 607,448,880

Least Common Multiple of Numerators i.e. LCM of 607,448,880 is 14956480.

GCF of Denominators means GCF of 22,12,180 as per the given fractions.

GCF of 22,12,180 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 607,448,880

LCM of Fractions 607/22,448/12,880/180 is 7478240

2 607, 448, 880
2 607, 224, 440
2 607, 112, 220
2 607, 56, 110
607, 28, 55

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 607 x 28 x 55 = 14956480

Least Common Multiple of 607,448,880 with GCF Formula

Least Common Multiple of 607,448,880 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 607,448,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,448,880) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(607,448,880) x common factors =1 x 16 = 16

LCM(607,448,880) = ( 607 × 448 × 880 ) / 16

LCM(607,448,880) = 239303680 / 16

LCM(607,448,880) = 14956480


Lets's calculate GCF of 22,12,180

2 22, 12, 180
11, 6, 90

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14956480/2

Therefore the LCM of Fractions 607/22,448/12,880/180 is 7478240

Greatest Common Factor of 22,12,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,12,180 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

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 22,12,180 . The biggest common factor number is the GCF number.
So the greatest common factor 22,12,180 is 2.


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 607/22, 448/12, 880/180

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 607/22, 448/12, 880/180?

Answer: LCM of Numerators as per given numbers 607/22, 448/12, 880/180 is

LCM of Numerators i.e. for 607,448,880 is 14956480

GCF of denominators i.e. for 22,12,180 is 2.

Thus, LCM of Fractions is 7478240.Finally, LCM of Fractions for 607/22, 448/12, 880/180 is 7478240.