Least Common Multiple of 214/82, 882/9766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/82, 882/9766 quickly i.e. 47187 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/82, 882/9766 is 47187.

LCM(214/82, 882/9766) = 47187

LCM of 214/82, 882/9766

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 214/82,882/9766

Given numbers are 214/82,882/9766

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 214,882

Least Common Multiple of Numerators i.e. LCM of 214,882 is 94374.

GCF of Denominators means GCF of 82,9766 as per the given fractions.

GCF of 82,9766 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,882

LCM of Fractions 214/82,882/9766 is 47187

2 214, 882
107, 441

∴ So the LCM of the given numbers is 2 x 107 x 441 = 94374

Least Common Multiple of 214,882 with GCF Formula

Least Common Multiple of 214,882 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 214,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,882) = 2

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

GCF(214,882) x common factors =2 x 1 = 2

LCM(214,882) = ( 214 × 882 ) / 2

LCM(214,882) = 188748 / 2

LCM(214,882) = 94374


Lets's calculate GCF of 82,9766

2 82, 9766
41, 4883

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94374/2

Therefore the LCM of Fractions 214/82,882/9766 is 47187

Greatest Common Factor of 82,9766 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,9766 By Matching Biggest Common Factor Method

Factors of 82

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

1,2,41,82

Factors of 9766

List of positive integer factors of 9766 that divides 9766 without a remainder.

1,2,19,38,257,514,4883,9766

Greatest Common Factor

We found the factors 82,9766 . The biggest common factor number is the GCF number.
So the greatest common factor 82,9766 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 214/82, 882/9766

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 214/82, 882/9766?

Answer: LCM of Numerators as per given numbers 214/82, 882/9766 is

LCM of Numerators i.e. for 214,882 is 94374

GCF of denominators i.e. for 82,9766 is 2.

Thus, LCM of Fractions is 47187.Finally, LCM of Fractions for 214/82, 882/9766 is 47187.