Least Common Multiple of 505/94, 183/12, 909/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 505/94, 183/12, 909/894 quickly i.e. 277245/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 505/94, 183/12, 909/894 is 277245/2.

LCM(505/94, 183/12, 909/894) = 277245/2

LCM of 505/94, 183/12, 909/894

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 505/94,183/12,909/894

Given numbers are 505/94,183/12,909/894

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 505,183,909

Least Common Multiple of Numerators i.e. LCM of 505,183,909 is 277245.

GCF of Denominators means GCF of 94,12,894 as per the given fractions.

GCF of 94,12,894 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 505,183,909

LCM of Fractions 505/94,183/12,909/894 is 277245/2

3 505, 183, 909
101 505, 61, 303
5, 61, 3

∴ So the LCM of the given numbers is 3 x 101 x 5 x 61 x 3 = 277245

Least Common Multiple of 505,183,909 with GCF Formula

Least Common Multiple of 505,183,909 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 505,183,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,183,909) = 1

common factors(in case of two or more numbers have common factors) = 303

GCF(505,183,909) x common factors =1 x 303 = 303

LCM(505,183,909) = ( 505 × 183 × 909 ) / 303

LCM(505,183,909) = 84005235 / 303

LCM(505,183,909) = 277245


Lets's calculate GCF of 94,12,894

2 94, 12, 894
47, 6, 447

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 277245/2

Therefore the LCM of Fractions 505/94,183/12,909/894 is 277245/2

Greatest Common Factor of 94,12,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,12,894 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 94,12,894 . The biggest common factor number is the GCF number.
So the greatest common factor 94,12,894 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 505/94, 183/12, 909/894

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 505/94, 183/12, 909/894?

Answer: LCM of Numerators as per given numbers 505/94, 183/12, 909/894 is

LCM of Numerators i.e. for 505,183,909 is 277245

GCF of denominators i.e. for 94,12,894 is 2.

Thus, LCM of Fractions is 277245/2.Finally, LCM of Fractions for 505/94, 183/12, 909/894 is 277245/2.