Least Common Multiple of 199/14, 751/9788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 199/14, 751/9788 quickly i.e. 149449/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 199/14, 751/9788 is 149449/2.

LCM(199/14, 751/9788) = 149449/2

LCM of 199/14, 751/9788

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 199/14,751/9788

Given numbers are 199/14,751/9788

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 199,751

Least Common Multiple of Numerators i.e. LCM of 199,751 is 149449.

GCF of Denominators means GCF of 14,9788 as per the given fractions.

GCF of 14,9788 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 199,751

LCM of Fractions 199/14,751/9788 is 149449/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 149449

Least Common Multiple of 199,751 with GCF Formula

Least Common Multiple of 199,751 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 199,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,751) = 1

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

GCF(199,751) x common factors =1 x 1 = 1

LCM(199,751) = ( 199 × 751 ) / 1

LCM(199,751) = 149449 / 1

LCM(199,751) = 149449


Lets's calculate GCF of 14,9788

2 14, 9788
7, 4894

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149449/2

Therefore the LCM of Fractions 199/14,751/9788 is 149449/2

Greatest Common Factor of 14,9788 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,9788 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 9788

List of positive integer factors of 9788 that divides 9788 without a remainder.

1,2,4,2447,4894,9788

Greatest Common Factor

We found the factors 14,9788 . The biggest common factor number is the GCF number.
So the greatest common factor 14,9788 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 199/14, 751/9788

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 199/14, 751/9788?

Answer: LCM of Numerators as per given numbers 199/14, 751/9788 is

LCM of Numerators i.e. for 199,751 is 149449

GCF of denominators i.e. for 14,9788 is 2.

Thus, LCM of Fractions is 149449/2.Finally, LCM of Fractions for 199/14, 751/9788 is 149449/2.