Least Common Multiple of 199/692, 5835/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 199/692, 5835/282 quickly i.e. 1161165/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 199/692, 5835/282 is 1161165/2.

LCM(199/692, 5835/282) = 1161165/2

LCM of 199/692, 5835/282

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 199/692,5835/282

Given numbers are 199/692,5835/282

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 199,5835

Least Common Multiple of Numerators i.e. LCM of 199,5835 is 1161165.

GCF of Denominators means GCF of 692,282 as per the given fractions.

GCF of 692,282 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 199,5835

LCM of Fractions 199/692,5835/282 is 1161165/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1161165

Least Common Multiple of 199,5835 with GCF Formula

Least Common Multiple of 199,5835 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 199,5835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,5835) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(199,5835) x common factors =1 x 1 = 1

LCM(199,5835) = ( 199 × 5835 ) / 1

LCM(199,5835) = 1161165 / 1

LCM(199,5835) = 1161165


Lets's calculate GCF of 692,282

2 692, 282
346, 141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1161165/2

Therefore the LCM of Fractions 199/692,5835/282 is 1161165/2

Greatest Common Factor of 692,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,282 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 692,282 . The biggest common factor number is the GCF number.
So the greatest common factor 692,282 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 199/692, 5835/282

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 199/692, 5835/282?

Answer: LCM of Numerators as per given numbers 199/692, 5835/282 is

LCM of Numerators i.e. for 199,5835 is 1161165

GCF of denominators i.e. for 692,282 is 2.

Thus, LCM of Fractions is 1161165/2.Finally, LCM of Fractions for 199/692, 5835/282 is 1161165/2.