Least Common Multiple of 822/494, 393/380, 290/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 822/494, 393/380, 290/920 quickly i.e. 7806945 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 822/494, 393/380, 290/920 is 7806945.

LCM(822/494, 393/380, 290/920) = 7806945

LCM of 822/494, 393/380, 290/920

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 822/494,393/380,290/920

Given numbers are 822/494,393/380,290/920

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 822,393,290

Least Common Multiple of Numerators i.e. LCM of 822,393,290 is 15613890.

GCF of Denominators means GCF of 494,380,920 as per the given fractions.

GCF of 494,380,920 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 822,393,290

LCM of Fractions 822/494,393/380,290/920 is 7806945

2 822, 393, 290
3 411, 393, 145
137, 131, 145

∴ So the LCM of the given numbers is 2 x 3 x 137 x 131 x 145 = 15613890

Least Common Multiple of 822,393,290 with GCF Formula

Least Common Multiple of 822,393,290 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 822,393,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,393,290) = 1

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

GCF(822,393,290) x common factors =1 x 6 = 6

LCM(822,393,290) = ( 822 × 393 × 290 ) / 6

LCM(822,393,290) = 93683340 / 6

LCM(822,393,290) = 15613890


Lets's calculate GCF of 494,380,920

2 494, 380, 920
247, 190, 460

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15613890/2

Therefore the LCM of Fractions 822/494,393/380,290/920 is 7806945

Greatest Common Factor of 494,380,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,380,920 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 494,380,920 . The biggest common factor number is the GCF number.
So the greatest common factor 494,380,920 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 822/494, 393/380, 290/920

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 822/494, 393/380, 290/920?

Answer: LCM of Numerators as per given numbers 822/494, 393/380, 290/920 is

LCM of Numerators i.e. for 822,393,290 is 15613890

GCF of denominators i.e. for 494,380,920 is 2.

Thus, LCM of Fractions is 7806945.Finally, LCM of Fractions for 822/494, 393/380, 290/920 is 7806945.