Least Common Multiple of 2185/84, 2116/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2185/84, 2116/680 quickly i.e. 50255 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2185/84, 2116/680 is 50255.

LCM(2185/84, 2116/680) = 50255

LCM of 2185/84, 2116/680

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 2185/84,2116/680

Given numbers are 2185/84,2116/680

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 2185,2116

Least Common Multiple of Numerators i.e. LCM of 2185,2116 is 201020.

GCF of Denominators means GCF of 84,680 as per the given fractions.

GCF of 84,680 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2185,2116

LCM of Fractions 2185/84,2116/680 is 50255

23 2185, 2116
95, 92

∴ So the LCM of the given numbers is 23 x 95 x 92 = 201020

Least Common Multiple of 2185,2116 with GCF Formula

Least Common Multiple of 2185,2116 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 2185,2116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2185,2116) = 23

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

GCF(2185,2116) x common factors =23 x 1 = 23

LCM(2185,2116) = ( 2185 × 2116 ) / 23

LCM(2185,2116) = 4623460 / 23

LCM(2185,2116) = 201020


Lets's calculate GCF of 84,680

2 84, 680
2 42, 340
21, 170

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 201020/4

Therefore the LCM of Fractions 2185/84,2116/680 is 50255

Greatest Common Factor of 84,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,680 By Matching Biggest Common Factor Method

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 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 84,680 . The biggest common factor number is the GCF number.
So the greatest common factor 84,680 is 4.


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 2185/84, 2116/680

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 2185/84, 2116/680?

Answer: LCM of Numerators as per given numbers 2185/84, 2116/680 is

LCM of Numerators i.e. for 2185,2116 is 201020

GCF of denominators i.e. for 84,680 is 4.

Thus, LCM of Fractions is 50255.Finally, LCM of Fractions for 2185/84, 2116/680 is 50255.