Least Common Multiple of 199/433, 506/710, 361/636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 199/433, 506/710, 361/636 quickly i.e. 36350534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 199/433, 506/710, 361/636 is 36350534.

LCM(199/433, 506/710, 361/636) = 36350534

LCM of 199/433, 506/710, 361/636

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 199/433,506/710,361/636

Given numbers are 199/433,506/710,361/636

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 199,506,361

Least Common Multiple of Numerators i.e. LCM of 199,506,361 is 36350534.

GCF of Denominators means GCF of 433,710,636 as per the given fractions.

GCF of 433,710,636 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 199,506,361

LCM of Fractions 199/433,506/710,361/636 is 36350534

Given numbers has no common factors except 1. So, there LCM is their product i.e 36350534

Least Common Multiple of 199,506,361 with GCF Formula

Least Common Multiple of 199,506,361 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 199,506,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,506,361) = 1

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

GCF(199,506,361) x common factors =1 x 1 = 1

LCM(199,506,361) = ( 199 × 506 × 361 ) / 1

LCM(199,506,361) = 36350534 / 1

LCM(199,506,361) = 36350534


Lets's calculate GCF of 433,710,636

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36350534/1

Therefore the LCM of Fractions 199/433,506/710,361/636 is 36350534

Greatest Common Factor of 433,710,636 By Matching Biggest Common Factor Method

Greatest Common Factor of 433,710,636 By Matching Biggest Common Factor Method

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 433,710,636 . The biggest common factor number is the GCF number.
So the greatest common factor 433,710,636 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 199/433, 506/710, 361/636

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 199/433, 506/710, 361/636?

Answer: LCM of Numerators as per given numbers 199/433, 506/710, 361/636 is

LCM of Numerators i.e. for 199,506,361 is 36350534

GCF of denominators i.e. for 433,710,636 is 1.

Thus, LCM of Fractions is 36350534.Finally, LCM of Fractions for 199/433, 506/710, 361/636 is 36350534.