Least Common Multiple of 75/868, 474/418, 799/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/868, 474/418, 799/480 quickly i.e. 4734075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/868, 474/418, 799/480 is 4734075.

LCM(75/868, 474/418, 799/480) = 4734075

LCM of 75/868, 474/418, 799/480

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 75/868,474/418,799/480

Given numbers are 75/868,474/418,799/480

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 75,474,799

Least Common Multiple of Numerators i.e. LCM of 75,474,799 is 9468150.

GCF of Denominators means GCF of 868,418,480 as per the given fractions.

GCF of 868,418,480 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,474,799

LCM of Fractions 75/868,474/418,799/480 is 4734075

3 75, 474, 799
25, 158, 799

∴ So the LCM of the given numbers is 3 x 25 x 158 x 799 = 9468150

Least Common Multiple of 75,474,799 with GCF Formula

Least Common Multiple of 75,474,799 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 75,474,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,474,799) = 1

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

GCF(75,474,799) x common factors =1 x 3 = 3

LCM(75,474,799) = ( 75 × 474 × 799 ) / 3

LCM(75,474,799) = 28404450 / 3

LCM(75,474,799) = 9468150


Lets's calculate GCF of 868,418,480

2 868, 418, 480
434, 209, 240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9468150/2

Therefore the LCM of Fractions 75/868,474/418,799/480 is 4734075

Greatest Common Factor of 868,418,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,418,480 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

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 868,418,480 . The biggest common factor number is the GCF number.
So the greatest common factor 868,418,480 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 75/868, 474/418, 799/480

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 75/868, 474/418, 799/480?

Answer: LCM of Numerators as per given numbers 75/868, 474/418, 799/480 is

LCM of Numerators i.e. for 75,474,799 is 9468150

GCF of denominators i.e. for 868,418,480 is 2.

Thus, LCM of Fractions is 4734075.Finally, LCM of Fractions for 75/868, 474/418, 799/480 is 4734075.