Least Common Multiple of 30/32, 14/90, 38/20, 94/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/32, 14/90, 38/20, 94/850 quickly i.e. 93765 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/32, 14/90, 38/20, 94/850 is 93765.

LCM(30/32, 14/90, 38/20, 94/850) = 93765

LCM of 30/32, 14/90, 38/20, 94/850

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 30/32,14/90,38/20,94/850

Given numbers are 30/32,14/90,38/20,94/850

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 30,14,38,94

Least Common Multiple of Numerators i.e. LCM of 30,14,38,94 is 187530.

GCF of Denominators means GCF of 32,90,20,850 as per the given fractions.

GCF of 32,90,20,850 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,14,38,94

LCM of Fractions 30/32,14/90,38/20,94/850 is 93765

2 30, 14, 38, 94
15, 7, 19, 47

∴ So the LCM of the given numbers is 2 x 15 x 7 x 19 x 47 = 187530

Least Common Multiple of 30,14,38,94 with GCF Formula

Least Common Multiple of 30,14,38,94 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 30,14,38,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,14,38,94) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(30,14,38,94) x common factors =2 x 4 = 8

LCM(30,14,38,94) = ( 30 × 14 × 38 × 94 ) / 8

LCM(30,14,38,94) = 1500240 / 8

LCM(30,14,38,94) = 187530


Lets's calculate GCF of 32,90,20,850

2 32, 90, 20, 850
16, 45, 10, 425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187530/2

Therefore the LCM of Fractions 30/32,14/90,38/20,94/850 is 93765

Greatest Common Factor of 32,90,20,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,90,20,850 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 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 32,90,20,850 . The biggest common factor number is the GCF number.
So the greatest common factor 32,90,20,850 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 30/32, 14/90, 38/20, 94/850

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 30/32, 14/90, 38/20, 94/850?

Answer: LCM of Numerators as per given numbers 30/32, 14/90, 38/20, 94/850 is

LCM of Numerators i.e. for 30,14,38,94 is 187530

GCF of denominators i.e. for 32,90,20,850 is 2.

Thus, LCM of Fractions is 93765.Finally, LCM of Fractions for 30/32, 14/90, 38/20, 94/850 is 93765.