Least Common Multiple of 69/520, 193/222, 105/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/520, 193/222, 105/480 quickly i.e. 466095/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/520, 193/222, 105/480 is 466095/2.

LCM(69/520, 193/222, 105/480) = 466095/2

LCM of 69/520, 193/222, 105/480

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 69/520,193/222,105/480

Given numbers are 69/520,193/222,105/480

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 69,193,105

Least Common Multiple of Numerators i.e. LCM of 69,193,105 is 466095.

GCF of Denominators means GCF of 520,222,480 as per the given fractions.

GCF of 520,222,480 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,193,105

LCM of Fractions 69/520,193/222,105/480 is 466095/2

3 69, 193, 105
23, 193, 35

∴ So the LCM of the given numbers is 3 x 23 x 193 x 35 = 466095

Least Common Multiple of 69,193,105 with GCF Formula

Least Common Multiple of 69,193,105 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 69,193,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,193,105) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,193,105) x common factors =1 x 3 = 3

LCM(69,193,105) = ( 69 × 193 × 105 ) / 3

LCM(69,193,105) = 1398285 / 3

LCM(69,193,105) = 466095


Lets's calculate GCF of 520,222,480

2 520, 222, 480
260, 111, 240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 466095/2

Therefore the LCM of Fractions 69/520,193/222,105/480 is 466095/2

Greatest Common Factor of 520,222,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,222,480 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 520,222,480 . The biggest common factor number is the GCF number.
So the greatest common factor 520,222,480 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 69/520, 193/222, 105/480

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 69/520, 193/222, 105/480?

Answer: LCM of Numerators as per given numbers 69/520, 193/222, 105/480 is

LCM of Numerators i.e. for 69,193,105 is 466095

GCF of denominators i.e. for 520,222,480 is 2.

Thus, LCM of Fractions is 466095/2.Finally, LCM of Fractions for 69/520, 193/222, 105/480 is 466095/2.