Least Common Multiple of 822/99, 290/57, 380/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 822/99, 290/57, 380/732 quickly i.e. 1509740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 822/99, 290/57, 380/732 is 1509740.

LCM(822/99, 290/57, 380/732) = 1509740

LCM of 822/99, 290/57, 380/732

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 822/99,290/57,380/732

Given numbers are 822/99,290/57,380/732

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 822,290,380

Least Common Multiple of Numerators i.e. LCM of 822,290,380 is 4529220.

GCF of Denominators means GCF of 99,57,732 as per the given fractions.

GCF of 99,57,732 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 822,290,380

LCM of Fractions 822/99,290/57,380/732 is 1509740

2 822, 290, 380
5 411, 145, 190
411, 29, 38

∴ So the LCM of the given numbers is 2 x 5 x 411 x 29 x 38 = 4529220

Least Common Multiple of 822,290,380 with GCF Formula

Least Common Multiple of 822,290,380 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 822,290,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,290,380) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(822,290,380) x common factors =2 x 10 = 20

LCM(822,290,380) = ( 822 × 290 × 380 ) / 20

LCM(822,290,380) = 90584400 / 20

LCM(822,290,380) = 4529220


Lets's calculate GCF of 99,57,732

3 99, 57, 732
33, 19, 244

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4529220/3

Therefore the LCM of Fractions 822/99,290/57,380/732 is 1509740

Greatest Common Factor of 99,57,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,57,732 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 99,57,732 . The biggest common factor number is the GCF number.
So the greatest common factor 99,57,732 is 3.


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 822/99, 290/57, 380/732

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 822/99, 290/57, 380/732?

Answer: LCM of Numerators as per given numbers 822/99, 290/57, 380/732 is

LCM of Numerators i.e. for 822,290,380 is 4529220

GCF of denominators i.e. for 99,57,732 is 3.

Thus, LCM of Fractions is 1509740.Finally, LCM of Fractions for 822/99, 290/57, 380/732 is 1509740.