Least Common Multiple of 199/352, 1078/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 199/352, 1078/330 quickly i.e. 9751 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 199/352, 1078/330 is 9751.

LCM(199/352, 1078/330) = 9751

LCM of 199/352, 1078/330

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 199/352,1078/330

Given numbers are 199/352,1078/330

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 199,1078

Least Common Multiple of Numerators i.e. LCM of 199,1078 is 214522.

GCF of Denominators means GCF of 352,330 as per the given fractions.

GCF of 352,330 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 199,1078

LCM of Fractions 199/352,1078/330 is 9751

Given numbers has no common factors except 1. So, there LCM is their product i.e 214522

Least Common Multiple of 199,1078 with GCF Formula

Least Common Multiple of 199,1078 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 199,1078 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,1078) = 1

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

GCF(199,1078) x common factors =1 x 1 = 1

LCM(199,1078) = ( 199 × 1078 ) / 1

LCM(199,1078) = 214522 / 1

LCM(199,1078) = 214522


Lets's calculate GCF of 352,330

2 352, 330
11 176, 165
16, 15

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214522/22

Therefore the LCM of Fractions 199/352,1078/330 is 9751

Greatest Common Factor of 352,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,330 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

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

Greatest Common Factor

We found the factors 352,330 . The biggest common factor number is the GCF number.
So the greatest common factor 352,330 is 22.


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 199/352, 1078/330

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 199/352, 1078/330?

Answer: LCM of Numerators as per given numbers 199/352, 1078/330 is

LCM of Numerators i.e. for 199,1078 is 214522

GCF of denominators i.e. for 352,330 is 22.

Thus, LCM of Fractions is 9751.Finally, LCM of Fractions for 199/352, 1078/330 is 9751.