Least Common Multiple of 927/90, 810/17, 379/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 927/90, 810/17, 379/449 quickly i.e. 31619970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 927/90, 810/17, 379/449 is 31619970.

LCM(927/90, 810/17, 379/449) = 31619970

LCM of 927/90, 810/17, 379/449

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 927/90,810/17,379/449

Given numbers are 927/90,810/17,379/449

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 927,810,379

Least Common Multiple of Numerators i.e. LCM of 927,810,379 is 31619970.

GCF of Denominators means GCF of 90,17,449 as per the given fractions.

GCF of 90,17,449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 927,810,379

LCM of Fractions 927/90,810/17,379/449 is 31619970

3 927, 810, 379
3 309, 270, 379
103, 90, 379

∴ So the LCM of the given numbers is 3 x 3 x 103 x 90 x 379 = 31619970

Least Common Multiple of 927,810,379 with GCF Formula

Least Common Multiple of 927,810,379 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 927,810,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(927,810,379) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(927,810,379) x common factors =1 x 9 = 9

LCM(927,810,379) = ( 927 × 810 × 379 ) / 9

LCM(927,810,379) = 284579730 / 9

LCM(927,810,379) = 31619970


Lets's calculate GCF of 90,17,449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31619970/1

Therefore the LCM of Fractions 927/90,810/17,379/449 is 31619970

Greatest Common Factor of 90,17,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,17,449 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 90,17,449 . The biggest common factor number is the GCF number.
So the greatest common factor 90,17,449 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 927/90, 810/17, 379/449

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 927/90, 810/17, 379/449?

Answer: LCM of Numerators as per given numbers 927/90, 810/17, 379/449 is

LCM of Numerators i.e. for 927,810,379 is 31619970

GCF of denominators i.e. for 90,17,449 is 1.

Thus, LCM of Fractions is 31619970.Finally, LCM of Fractions for 927/90, 810/17, 379/449 is 31619970.