Least Common Multiple of 83/892, 282/821, 522/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/892, 282/821, 522/290 quickly i.e. 2036322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/892, 282/821, 522/290 is 2036322.

LCM(83/892, 282/821, 522/290) = 2036322

LCM of 83/892, 282/821, 522/290

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 83/892,282/821,522/290

Given numbers are 83/892,282/821,522/290

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 83,282,522

Least Common Multiple of Numerators i.e. LCM of 83,282,522 is 2036322.

GCF of Denominators means GCF of 892,821,290 as per the given fractions.

GCF of 892,821,290 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,282,522

LCM of Fractions 83/892,282/821,522/290 is 2036322

2 83, 282, 522
3 83, 141, 261
83, 47, 87

∴ So the LCM of the given numbers is 2 x 3 x 83 x 47 x 87 = 2036322

Least Common Multiple of 83,282,522 with GCF Formula

Least Common Multiple of 83,282,522 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 83,282,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,282,522) = 1

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

GCF(83,282,522) x common factors =1 x 6 = 6

LCM(83,282,522) = ( 83 × 282 × 522 ) / 6

LCM(83,282,522) = 12217932 / 6

LCM(83,282,522) = 2036322


Lets's calculate GCF of 892,821,290

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2036322/1

Therefore the LCM of Fractions 83/892,282/821,522/290 is 2036322

Greatest Common Factor of 892,821,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,821,290 By Matching Biggest Common Factor Method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 892,821,290 . The biggest common factor number is the GCF number.
So the greatest common factor 892,821,290 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 83/892, 282/821, 522/290

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 83/892, 282/821, 522/290?

Answer: LCM of Numerators as per given numbers 83/892, 282/821, 522/290 is

LCM of Numerators i.e. for 83,282,522 is 2036322

GCF of denominators i.e. for 892,821,290 is 1.

Thus, LCM of Fractions is 2036322.Finally, LCM of Fractions for 83/892, 282/821, 522/290 is 2036322.