Least Common Multiple of 81/41, 49/36, 78/67, 84/89

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/41, 49/36, 78/67, 84/89 quickly i.e. 206388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/41, 49/36, 78/67, 84/89 is 206388.

LCM(81/41, 49/36, 78/67, 84/89) = 206388

LCM of 81/41, 49/36, 78/67, 84/89

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 81/41,49/36,78/67,84/89

Given numbers are 81/41,49/36,78/67,84/89

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 81,49,78,84

Least Common Multiple of Numerators i.e. LCM of 81,49,78,84 is 206388.

GCF of Denominators means GCF of 41,36,67,89 as per the given fractions.

GCF of 41,36,67,89 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,49,78,84

LCM of Fractions 81/41,49/36,78/67,84/89 is 206388

2 81, 49, 78, 84
3 81, 49, 39, 42
7 27, 49, 13, 14
27, 7, 13, 2

∴ So the LCM of the given numbers is 2 x 3 x 7 x 27 x 7 x 13 x 2 = 206388

Least Common Multiple of 81,49,78,84 with GCF Formula

Least Common Multiple of 81,49,78,84 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 81,49,78,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,49,78,84) = 1

common factors(in case of two or more numbers have common factors) = 126

GCF(81,49,78,84) x common factors =1 x 126 = 126

LCM(81,49,78,84) = ( 81 × 49 × 78 × 84 ) / 126

LCM(81,49,78,84) = 26004888 / 126

LCM(81,49,78,84) = 206388


Lets's calculate GCF of 41,36,67,89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 206388/1

Therefore the LCM of Fractions 81/41,49/36,78/67,84/89 is 206388

Greatest Common Factor of 41,36,67,89 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,36,67,89 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 67

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

1,67

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Greatest Common Factor

We found the factors 41,36,67,89 . The biggest common factor number is the GCF number.
So the greatest common factor 41,36,67,89 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 81/41, 49/36, 78/67, 84/89

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 81/41, 49/36, 78/67, 84/89?

Answer: LCM of Numerators as per given numbers 81/41, 49/36, 78/67, 84/89 is

LCM of Numerators i.e. for 81,49,78,84 is 206388

GCF of denominators i.e. for 41,36,67,89 is 1.

Thus, LCM of Fractions is 206388.Finally, LCM of Fractions for 81/41, 49/36, 78/67, 84/89 is 206388.