Least Common Multiple of 84/83, 85/41, 17/14, 91/433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/83, 85/41, 17/14, 91/433 quickly i.e. 92820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/83, 85/41, 17/14, 91/433 is 92820.

LCM(84/83, 85/41, 17/14, 91/433) = 92820

LCM of 84/83, 85/41, 17/14, 91/433

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 84/83,85/41,17/14,91/433

Given numbers are 84/83,85/41,17/14,91/433

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 84,85,17,91

Least Common Multiple of Numerators i.e. LCM of 84,85,17,91 is 92820.

GCF of Denominators means GCF of 83,41,14,433 as per the given fractions.

GCF of 83,41,14,433 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,85,17,91

LCM of Fractions 84/83,85/41,17/14,91/433 is 92820

7 84, 85, 17, 91
17 12, 85, 17, 13
12, 5, 1, 13

∴ So the LCM of the given numbers is 7 x 17 x 12 x 5 x 1 x 13 = 92820

Least Common Multiple of 84,85,17,91 with GCF Formula

Least Common Multiple of 84,85,17,91 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 84,85,17,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,85,17,91) = 1

common factors(in case of two or more numbers have common factors) = 119

GCF(84,85,17,91) x common factors =1 x 119 = 119

LCM(84,85,17,91) = ( 84 × 85 × 17 × 91 ) / 119

LCM(84,85,17,91) = 11045580 / 119

LCM(84,85,17,91) = 92820


Lets's calculate GCF of 83,41,14,433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92820/1

Therefore the LCM of Fractions 84/83,85/41,17/14,91/433 is 92820

Greatest Common Factor of 83,41,14,433 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,41,14,433 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 41

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

1,41

Factors of 14

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

1,2,7,14

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Greatest Common Factor

We found the factors 83,41,14,433 . The biggest common factor number is the GCF number.
So the greatest common factor 83,41,14,433 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 84/83, 85/41, 17/14, 91/433

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 84/83, 85/41, 17/14, 91/433?

Answer: LCM of Numerators as per given numbers 84/83, 85/41, 17/14, 91/433 is

LCM of Numerators i.e. for 84,85,17,91 is 92820

GCF of denominators i.e. for 83,41,14,433 is 1.

Thus, LCM of Fractions is 92820.Finally, LCM of Fractions for 84/83, 85/41, 17/14, 91/433 is 92820.