Least Common Multiple of 11/69, 71/84, 28/75, 15/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/69, 71/84, 28/75, 15/142 quickly i.e. 328020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/69, 71/84, 28/75, 15/142 is 328020.

LCM(11/69, 71/84, 28/75, 15/142) = 328020

LCM of 11/69, 71/84, 28/75, 15/142

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 11/69,71/84,28/75,15/142

Given numbers are 11/69,71/84,28/75,15/142

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 11,71,28,15

Least Common Multiple of Numerators i.e. LCM of 11,71,28,15 is 328020.

GCF of Denominators means GCF of 69,84,75,142 as per the given fractions.

GCF of 69,84,75,142 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,71,28,15

LCM of Fractions 11/69,71/84,28/75,15/142 is 328020

Given numbers has no common factors except 1. So, there LCM is their product i.e 328020

Least Common Multiple of 11,71,28,15 with GCF Formula

Least Common Multiple of 11,71,28,15 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 11,71,28,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,71,28,15) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(11,71,28,15) x common factors =1 x 1 = 1

LCM(11,71,28,15) = ( 11 × 71 × 28 × 15 ) / 1

LCM(11,71,28,15) = 328020 / 1

LCM(11,71,28,15) = 328020


Lets's calculate GCF of 69,84,75,142

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 328020/1

Therefore the LCM of Fractions 11/69,71/84,28/75,15/142 is 328020

Greatest Common Factor of 69,84,75,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,84,75,142 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 75

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

1,3,5,15,25,75

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 69,84,75,142 . The biggest common factor number is the GCF number.
So the greatest common factor 69,84,75,142 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 11/69, 71/84, 28/75, 15/142

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 11/69, 71/84, 28/75, 15/142?

Answer: LCM of Numerators as per given numbers 11/69, 71/84, 28/75, 15/142 is

LCM of Numerators i.e. for 11,71,28,15 is 328020

GCF of denominators i.e. for 69,84,75,142 is 1.

Thus, LCM of Fractions is 328020.Finally, LCM of Fractions for 11/69, 71/84, 28/75, 15/142 is 328020.