Least Common Multiple of 18/450, 912/250, 371/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/450, 912/250, 371/660 quickly i.e. 1015056/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/450, 912/250, 371/660 is 1015056/10.

LCM(18/450, 912/250, 371/660) = 1015056/10

LCM of 18/450, 912/250, 371/660

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 18/450,912/250,371/660

Given numbers are 18/450,912/250,371/660

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 18,912,371

Least Common Multiple of Numerators i.e. LCM of 18,912,371 is 1015056.

GCF of Denominators means GCF of 450,250,660 as per the given fractions.

GCF of 450,250,660 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,912,371

LCM of Fractions 18/450,912/250,371/660 is 1015056/10

2 18, 912, 371
3 9, 456, 371
3, 152, 371

∴ So the LCM of the given numbers is 2 x 3 x 3 x 152 x 371 = 1015056

Least Common Multiple of 18,912,371 with GCF Formula

Least Common Multiple of 18,912,371 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 18,912,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,912,371) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(18,912,371) x common factors =1 x 6 = 6

LCM(18,912,371) = ( 18 × 912 × 371 ) / 6

LCM(18,912,371) = 6090336 / 6

LCM(18,912,371) = 1015056


Lets's calculate GCF of 450,250,660

2 450, 250, 660
5 225, 125, 330
45, 25, 66

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1015056/10

Therefore the LCM of Fractions 18/450,912/250,371/660 is 1015056/10

Greatest Common Factor of 450,250,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,250,660 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 450,250,660 . The biggest common factor number is the GCF number.
So the greatest common factor 450,250,660 is 10.


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 18/450, 912/250, 371/660

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 18/450, 912/250, 371/660?

Answer: LCM of Numerators as per given numbers 18/450, 912/250, 371/660 is

LCM of Numerators i.e. for 18,912,371 is 1015056

GCF of denominators i.e. for 450,250,660 is 10.

Thus, LCM of Fractions is 1015056/10.Finally, LCM of Fractions for 18/450, 912/250, 371/660 is 1015056/10.