Least Common Multiple of 99/30, 55/533, 474/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/30, 55/533, 474/800 quickly i.e. 78210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/30, 55/533, 474/800 is 78210.

LCM(99/30, 55/533, 474/800) = 78210

LCM of 99/30, 55/533, 474/800

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 99/30,55/533,474/800

Given numbers are 99/30,55/533,474/800

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 99,55,474

Least Common Multiple of Numerators i.e. LCM of 99,55,474 is 78210.

GCF of Denominators means GCF of 30,533,800 as per the given fractions.

GCF of 30,533,800 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,55,474

LCM of Fractions 99/30,55/533,474/800 is 78210

3 99, 55, 474
11 33, 55, 158
3, 5, 158

∴ So the LCM of the given numbers is 3 x 11 x 3 x 5 x 158 = 78210

Least Common Multiple of 99,55,474 with GCF Formula

Least Common Multiple of 99,55,474 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 99,55,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,55,474) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(99,55,474) x common factors =1 x 33 = 33

LCM(99,55,474) = ( 99 × 55 × 474 ) / 33

LCM(99,55,474) = 2580930 / 33

LCM(99,55,474) = 78210


Lets's calculate GCF of 30,533,800

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78210/1

Therefore the LCM of Fractions 99/30,55/533,474/800 is 78210

Greatest Common Factor of 30,533,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,533,800 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 30,533,800 . The biggest common factor number is the GCF number.
So the greatest common factor 30,533,800 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 99/30, 55/533, 474/800

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 99/30, 55/533, 474/800?

Answer: LCM of Numerators as per given numbers 99/30, 55/533, 474/800 is

LCM of Numerators i.e. for 99,55,474 is 78210

GCF of denominators i.e. for 30,533,800 is 1.

Thus, LCM of Fractions is 78210.Finally, LCM of Fractions for 99/30, 55/533, 474/800 is 78210.