Least Common Multiple of 19/75, 45/40, 84/67

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/75, 45/40, 84/67 quickly i.e. 23940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/75, 45/40, 84/67 is 23940.

LCM(19/75, 45/40, 84/67) = 23940

LCM of 19/75, 45/40, 84/67

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 19/75,45/40,84/67

Given numbers are 19/75,45/40,84/67

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 19,45,84

Least Common Multiple of Numerators i.e. LCM of 19,45,84 is 23940.

GCF of Denominators means GCF of 75,40,67 as per the given fractions.

GCF of 75,40,67 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,45,84

LCM of Fractions 19/75,45/40,84/67 is 23940

3 19, 45, 84
19, 15, 28

∴ So the LCM of the given numbers is 3 x 19 x 15 x 28 = 23940

Least Common Multiple of 19,45,84 with GCF Formula

Least Common Multiple of 19,45,84 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 19,45,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,45,84) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(19,45,84) x common factors =1 x 3 = 3

LCM(19,45,84) = ( 19 × 45 × 84 ) / 3

LCM(19,45,84) = 71820 / 3

LCM(19,45,84) = 23940


Lets's calculate GCF of 75,40,67

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23940/1

Therefore the LCM of Fractions 19/75,45/40,84/67 is 23940

Greatest Common Factor of 75,40,67 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,40,67 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Greatest Common Factor

We found the factors 75,40,67 . The biggest common factor number is the GCF number.
So the greatest common factor 75,40,67 is 1.


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 19/75, 45/40, 84/67

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 19/75, 45/40, 84/67?

Answer: LCM of Numerators as per given numbers 19/75, 45/40, 84/67 is

LCM of Numerators i.e. for 19,45,84 is 23940

GCF of denominators i.e. for 75,40,67 is 1.

Thus, LCM of Fractions is 23940.Finally, LCM of Fractions for 19/75, 45/40, 84/67 is 23940.