Least Common Multiple of 36/806, 464/923, 190/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 36/806, 464/923, 190/122 quickly i.e. 396720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/806, 464/923, 190/122 is 396720.

LCM(36/806, 464/923, 190/122) = 396720

LCM of 36/806, 464/923, 190/122

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 36/806,464/923,190/122

Given numbers are 36/806,464/923,190/122

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 36,464,190

Least Common Multiple of Numerators i.e. LCM of 36,464,190 is 396720.

GCF of Denominators means GCF of 806,923,122 as per the given fractions.

GCF of 806,923,122 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,464,190

LCM of Fractions 36/806,464/923,190/122 is 396720

2 36, 464, 190
2 18, 232, 95
9, 116, 95

∴ So the LCM of the given numbers is 2 x 2 x 9 x 116 x 95 = 396720

Least Common Multiple of 36,464,190 with GCF Formula

Least Common Multiple of 36,464,190 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 36,464,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,464,190) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(36,464,190) x common factors =2 x 4 = 8

LCM(36,464,190) = ( 36 × 464 × 190 ) / 8

LCM(36,464,190) = 3173760 / 8

LCM(36,464,190) = 396720


Lets's calculate GCF of 806,923,122

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 396720/1

Therefore the LCM of Fractions 36/806,464/923,190/122 is 396720

Greatest Common Factor of 806,923,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 806,923,122 By Matching Biggest Common Factor Method

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 806,923,122 . The biggest common factor number is the GCF number.
So the greatest common factor 806,923,122 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 36/806, 464/923, 190/122

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 36/806, 464/923, 190/122?

Answer: LCM of Numerators as per given numbers 36/806, 464/923, 190/122 is

LCM of Numerators i.e. for 36,464,190 is 396720

GCF of denominators i.e. for 806,923,122 is 1.

Thus, LCM of Fractions is 396720.Finally, LCM of Fractions for 36/806, 464/923, 190/122 is 396720.