Least Common Multiple of 749/330, 5685/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 749/330, 5685/199 quickly i.e. 4258065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/330, 5685/199 is 4258065.

LCM(749/330, 5685/199) = 4258065

LCM of 749/330, 5685/199

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 749/330,5685/199

Given numbers are 749/330,5685/199

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 749,5685

Least Common Multiple of Numerators i.e. LCM of 749,5685 is 4258065.

GCF of Denominators means GCF of 330,199 as per the given fractions.

GCF of 330,199 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,5685

LCM of Fractions 749/330,5685/199 is 4258065

Given numbers has no common factors except 1. So, there LCM is their product i.e 4258065

Least Common Multiple of 749,5685 with GCF Formula

Least Common Multiple of 749,5685 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 749,5685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,5685) = 1

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

GCF(749,5685) x common factors =1 x 1 = 1

LCM(749,5685) = ( 749 × 5685 ) / 1

LCM(749,5685) = 4258065 / 1

LCM(749,5685) = 4258065


Lets's calculate GCF of 330,199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4258065/1

Therefore the LCM of Fractions 749/330,5685/199 is 4258065

Greatest Common Factor of 330,199 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,199 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Greatest Common Factor

We found the factors 330,199 . The biggest common factor number is the GCF number.
So the greatest common factor 330,199 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 749/330, 5685/199

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 749/330, 5685/199?

Answer: LCM of Numerators as per given numbers 749/330, 5685/199 is

LCM of Numerators i.e. for 749,5685 is 4258065

GCF of denominators i.e. for 330,199 is 1.

Thus, LCM of Fractions is 4258065.Finally, LCM of Fractions for 749/330, 5685/199 is 4258065.