Least Common Multiple of 18/528, 90/150, 419/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/528, 90/150, 419/936 quickly i.e. 6285 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/528, 90/150, 419/936 is 6285.

LCM(18/528, 90/150, 419/936) = 6285

LCM of 18/528, 90/150, 419/936

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 18/528,90/150,419/936

Given numbers are 18/528,90/150,419/936

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 18,90,419

Least Common Multiple of Numerators i.e. LCM of 18,90,419 is 37710.

GCF of Denominators means GCF of 528,150,936 as per the given fractions.

GCF of 528,150,936 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,90,419

LCM of Fractions 18/528,90/150,419/936 is 6285

2 18, 90, 419
3 9, 45, 419
3 3, 15, 419
1, 5, 419

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 5 x 419 = 37710

Least Common Multiple of 18,90,419 with GCF Formula

Least Common Multiple of 18,90,419 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 18,90,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,90,419) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(18,90,419) x common factors =1 x 18 = 18

LCM(18,90,419) = ( 18 × 90 × 419 ) / 18

LCM(18,90,419) = 678780 / 18

LCM(18,90,419) = 37710


Lets's calculate GCF of 528,150,936

2 528, 150, 936
3 264, 75, 468
88, 25, 156

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37710/6

Therefore the LCM of Fractions 18/528,90/150,419/936 is 6285

Greatest Common Factor of 528,150,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,150,936 By Matching Biggest Common Factor Method

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 528,150,936 . The biggest common factor number is the GCF number.
So the greatest common factor 528,150,936 is 6.


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 18/528, 90/150, 419/936

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 18/528, 90/150, 419/936?

Answer: LCM of Numerators as per given numbers 18/528, 90/150, 419/936 is

LCM of Numerators i.e. for 18,90,419 is 37710

GCF of denominators i.e. for 528,150,936 is 6.

Thus, LCM of Fractions is 6285.Finally, LCM of Fractions for 18/528, 90/150, 419/936 is 6285.