Least Common Multiple of 90/32, 43/30, 825/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/32, 43/30, 825/178 quickly i.e. 106425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/32, 43/30, 825/178 is 106425.

LCM(90/32, 43/30, 825/178) = 106425

LCM of 90/32, 43/30, 825/178

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 90/32,43/30,825/178

Given numbers are 90/32,43/30,825/178

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 90,43,825

Least Common Multiple of Numerators i.e. LCM of 90,43,825 is 212850.

GCF of Denominators means GCF of 32,30,178 as per the given fractions.

GCF of 32,30,178 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,43,825

LCM of Fractions 90/32,43/30,825/178 is 106425

3 90, 43, 825
5 30, 43, 275
6, 43, 55

∴ So the LCM of the given numbers is 3 x 5 x 6 x 43 x 55 = 212850

Least Common Multiple of 90,43,825 with GCF Formula

Least Common Multiple of 90,43,825 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 90,43,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,43,825) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(90,43,825) x common factors =1 x 15 = 15

LCM(90,43,825) = ( 90 × 43 × 825 ) / 15

LCM(90,43,825) = 3192750 / 15

LCM(90,43,825) = 212850


Lets's calculate GCF of 32,30,178

2 32, 30, 178
16, 15, 89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212850/2

Therefore the LCM of Fractions 90/32,43/30,825/178 is 106425

Greatest Common Factor of 32,30,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,30,178 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

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 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 32,30,178 . The biggest common factor number is the GCF number.
So the greatest common factor 32,30,178 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 90/32, 43/30, 825/178

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 90/32, 43/30, 825/178?

Answer: LCM of Numerators as per given numbers 90/32, 43/30, 825/178 is

LCM of Numerators i.e. for 90,43,825 is 212850

GCF of denominators i.e. for 32,30,178 is 2.

Thus, LCM of Fractions is 106425.Finally, LCM of Fractions for 90/32, 43/30, 825/178 is 106425.