Least Common Multiple of 35/550, 198/792, 300/425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/550, 198/792, 300/425 quickly i.e. 69300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/550, 198/792, 300/425 is 69300.

LCM(35/550, 198/792, 300/425) = 69300

LCM of 35/550, 198/792, 300/425

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 35/550,198/792,300/425

Given numbers are 35/550,198/792,300/425

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 35,198,300

Least Common Multiple of Numerators i.e. LCM of 35,198,300 is 69300.

GCF of Denominators means GCF of 550,792,425 as per the given fractions.

GCF of 550,792,425 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,198,300

LCM of Fractions 35/550,198/792,300/425 is 69300

2 35, 198, 300
3 35, 99, 150
5 35, 33, 50
7, 33, 10

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 33 x 10 = 69300

Least Common Multiple of 35,198,300 with GCF Formula

Least Common Multiple of 35,198,300 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 35,198,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,198,300) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(35,198,300) x common factors =1 x 30 = 30

LCM(35,198,300) = ( 35 × 198 × 300 ) / 30

LCM(35,198,300) = 2079000 / 30

LCM(35,198,300) = 69300


Lets's calculate GCF of 550,792,425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69300/1

Therefore the LCM of Fractions 35/550,198/792,300/425 is 69300

Greatest Common Factor of 550,792,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,792,425 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Greatest Common Factor

We found the factors 550,792,425 . The biggest common factor number is the GCF number.
So the greatest common factor 550,792,425 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 35/550, 198/792, 300/425

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 35/550, 198/792, 300/425?

Answer: LCM of Numerators as per given numbers 35/550, 198/792, 300/425 is

LCM of Numerators i.e. for 35,198,300 is 69300

GCF of denominators i.e. for 550,792,425 is 1.

Thus, LCM of Fractions is 69300.Finally, LCM of Fractions for 35/550, 198/792, 300/425 is 69300.