Least Common Multiple of 822/88, 338/63, 390/89

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 822/88, 338/63, 390/89 quickly i.e. 694590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 822/88, 338/63, 390/89 is 694590.

LCM(822/88, 338/63, 390/89) = 694590

LCM of 822/88, 338/63, 390/89

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 822/88,338/63,390/89

Given numbers are 822/88,338/63,390/89

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 822,338,390

Least Common Multiple of Numerators i.e. LCM of 822,338,390 is 694590.

GCF of Denominators means GCF of 88,63,89 as per the given fractions.

GCF of 88,63,89 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 822,338,390

LCM of Fractions 822/88,338/63,390/89 is 694590

2 822, 338, 390
3 411, 169, 195
13 137, 169, 65
137, 13, 5

∴ So the LCM of the given numbers is 2 x 3 x 13 x 137 x 13 x 5 = 694590

Least Common Multiple of 822,338,390 with GCF Formula

Least Common Multiple of 822,338,390 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 822,338,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,338,390) = 2

common factors(in case of two or more numbers have common factors) = 78

GCF(822,338,390) x common factors =2 x 78 = 156

LCM(822,338,390) = ( 822 × 338 × 390 ) / 156

LCM(822,338,390) = 108356040 / 156

LCM(822,338,390) = 694590


Lets's calculate GCF of 88,63,89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 694590/1

Therefore the LCM of Fractions 822/88,338/63,390/89 is 694590

Greatest Common Factor of 88,63,89 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,63,89 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Greatest Common Factor

We found the factors 88,63,89 . The biggest common factor number is the GCF number.
So the greatest common factor 88,63,89 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 822/88, 338/63, 390/89

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 822/88, 338/63, 390/89?

Answer: LCM of Numerators as per given numbers 822/88, 338/63, 390/89 is

LCM of Numerators i.e. for 822,338,390 is 694590

GCF of denominators i.e. for 88,63,89 is 1.

Thus, LCM of Fractions is 694590.Finally, LCM of Fractions for 822/88, 338/63, 390/89 is 694590.