Least Common Multiple of 90/52, 67/30, 222/28

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/52, 67/30, 222/28 quickly i.e. 111555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/52, 67/30, 222/28 is 111555.

LCM(90/52, 67/30, 222/28) = 111555

LCM of 90/52, 67/30, 222/28

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 90/52,67/30,222/28

Given numbers are 90/52,67/30,222/28

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 90,67,222

Least Common Multiple of Numerators i.e. LCM of 90,67,222 is 223110.

GCF of Denominators means GCF of 52,30,28 as per the given fractions.

GCF of 52,30,28 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,67,222

LCM of Fractions 90/52,67/30,222/28 is 111555

2 90, 67, 222
3 45, 67, 111
15, 67, 37

∴ So the LCM of the given numbers is 2 x 3 x 15 x 67 x 37 = 223110

Least Common Multiple of 90,67,222 with GCF Formula

Least Common Multiple of 90,67,222 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 90,67,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,67,222) = 1

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

GCF(90,67,222) x common factors =1 x 6 = 6

LCM(90,67,222) = ( 90 × 67 × 222 ) / 6

LCM(90,67,222) = 1338660 / 6

LCM(90,67,222) = 223110


Lets's calculate GCF of 52,30,28

2 52, 30, 28
26, 15, 14

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 223110/2

Therefore the LCM of Fractions 90/52,67/30,222/28 is 111555

Greatest Common Factor of 52,30,28 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,30,28 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Greatest Common Factor

We found the factors 52,30,28 . The biggest common factor number is the GCF number.
So the greatest common factor 52,30,28 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 90/52, 67/30, 222/28

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 90/52, 67/30, 222/28?

Answer: LCM of Numerators as per given numbers 90/52, 67/30, 222/28 is

LCM of Numerators i.e. for 90,67,222 is 223110

GCF of denominators i.e. for 52,30,28 is 2.

Thus, LCM of Fractions is 111555.Finally, LCM of Fractions for 90/52, 67/30, 222/28 is 111555.