Least Common Multiple of 52/280, 21/632, 198/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/280, 21/632, 198/849 quickly i.e. 36036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/280, 21/632, 198/849 is 36036.

LCM(52/280, 21/632, 198/849) = 36036

LCM of 52/280, 21/632, 198/849

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 52/280,21/632,198/849

Given numbers are 52/280,21/632,198/849

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 52,21,198

Least Common Multiple of Numerators i.e. LCM of 52,21,198 is 36036.

GCF of Denominators means GCF of 280,632,849 as per the given fractions.

GCF of 280,632,849 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,21,198

LCM of Fractions 52/280,21/632,198/849 is 36036

2 52, 21, 198
3 26, 21, 99
26, 7, 33

∴ So the LCM of the given numbers is 2 x 3 x 26 x 7 x 33 = 36036

Least Common Multiple of 52,21,198 with GCF Formula

Least Common Multiple of 52,21,198 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 52,21,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,21,198) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(52,21,198) x common factors =1 x 6 = 6

LCM(52,21,198) = ( 52 × 21 × 198 ) / 6

LCM(52,21,198) = 216216 / 6

LCM(52,21,198) = 36036


Lets's calculate GCF of 280,632,849

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36036/1

Therefore the LCM of Fractions 52/280,21/632,198/849 is 36036

Greatest Common Factor of 280,632,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,632,849 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 280,632,849 . The biggest common factor number is the GCF number.
So the greatest common factor 280,632,849 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 52/280, 21/632, 198/849

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 52/280, 21/632, 198/849?

Answer: LCM of Numerators as per given numbers 52/280, 21/632, 198/849 is

LCM of Numerators i.e. for 52,21,198 is 36036

GCF of denominators i.e. for 280,632,849 is 1.

Thus, LCM of Fractions is 36036.Finally, LCM of Fractions for 52/280, 21/632, 198/849 is 36036.