Least Common Multiple of 84/54, 87/82, 47/16, 34/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/54, 87/82, 47/16, 34/860 quickly i.e. 973182 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/54, 87/82, 47/16, 34/860 is 973182.

LCM(84/54, 87/82, 47/16, 34/860) = 973182

LCM of 84/54, 87/82, 47/16, 34/860

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 84/54,87/82,47/16,34/860

Given numbers are 84/54,87/82,47/16,34/860

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 84,87,47,34

Least Common Multiple of Numerators i.e. LCM of 84,87,47,34 is 1946364.

GCF of Denominators means GCF of 54,82,16,860 as per the given fractions.

GCF of 54,82,16,860 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,87,47,34

LCM of Fractions 84/54,87/82,47/16,34/860 is 973182

2 84, 87, 47, 34
3 42, 87, 47, 17
14, 29, 47, 17

∴ So the LCM of the given numbers is 2 x 3 x 14 x 29 x 47 x 17 = 1946364

Least Common Multiple of 84,87,47,34 with GCF Formula

Least Common Multiple of 84,87,47,34 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 84,87,47,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,87,47,34) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(84,87,47,34) x common factors =1 x 6 = 6

LCM(84,87,47,34) = ( 84 × 87 × 47 × 34 ) / 6

LCM(84,87,47,34) = 11678184 / 6

LCM(84,87,47,34) = 1946364


Lets's calculate GCF of 54,82,16,860

2 54, 82, 16, 860
27, 41, 8, 430

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1946364/2

Therefore the LCM of Fractions 84/54,87/82,47/16,34/860 is 973182

Greatest Common Factor of 54,82,16,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,82,16,860 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 54,82,16,860 . The biggest common factor number is the GCF number.
So the greatest common factor 54,82,16,860 is 2.


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 84/54, 87/82, 47/16, 34/860

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 84/54, 87/82, 47/16, 34/860?

Answer: LCM of Numerators as per given numbers 84/54, 87/82, 47/16, 34/860 is

LCM of Numerators i.e. for 84,87,47,34 is 1946364

GCF of denominators i.e. for 54,82,16,860 is 2.

Thus, LCM of Fractions is 973182.Finally, LCM of Fractions for 84/54, 87/82, 47/16, 34/860 is 973182.