Least Common Multiple of 8/14, 9/28, 21/92, 67/583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/14, 9/28, 21/92, 67/583 quickly i.e. 33768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/14, 9/28, 21/92, 67/583 is 33768.

LCM(8/14, 9/28, 21/92, 67/583) = 33768

LCM of 8/14, 9/28, 21/92, 67/583

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 8/14,9/28,21/92,67/583

Given numbers are 8/14,9/28,21/92,67/583

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 8,9,21,67

Least Common Multiple of Numerators i.e. LCM of 8,9,21,67 is 33768.

GCF of Denominators means GCF of 14,28,92,583 as per the given fractions.

GCF of 14,28,92,583 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,9,21,67

LCM of Fractions 8/14,9/28,21/92,67/583 is 33768

3 8, 9, 21, 67
8, 3, 7, 67

∴ So the LCM of the given numbers is 3 x 8 x 3 x 7 x 67 = 33768

Least Common Multiple of 8,9,21,67 with GCF Formula

Least Common Multiple of 8,9,21,67 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 8,9,21,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,9,21,67) = 1

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

GCF(8,9,21,67) x common factors =1 x 3 = 3

LCM(8,9,21,67) = ( 8 × 9 × 21 × 67 ) / 3

LCM(8,9,21,67) = 101304 / 3

LCM(8,9,21,67) = 33768


Lets's calculate GCF of 14,28,92,583

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33768/1

Therefore the LCM of Fractions 8/14,9/28,21/92,67/583 is 33768

Greatest Common Factor of 14,28,92,583 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,28,92,583 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 28

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

1,2,4,7,14,28

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Greatest Common Factor

We found the factors 14,28,92,583 . The biggest common factor number is the GCF number.
So the greatest common factor 14,28,92,583 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 8/14, 9/28, 21/92, 67/583

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 8/14, 9/28, 21/92, 67/583?

Answer: LCM of Numerators as per given numbers 8/14, 9/28, 21/92, 67/583 is

LCM of Numerators i.e. for 8,9,21,67 is 33768

GCF of denominators i.e. for 14,28,92,583 is 1.

Thus, LCM of Fractions is 33768.Finally, LCM of Fractions for 8/14, 9/28, 21/92, 67/583 is 33768.