Least Common Multiple of 199/75, 1920/681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 199/75, 1920/681 quickly i.e. 127360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 199/75, 1920/681 is 127360.

LCM(199/75, 1920/681) = 127360

LCM of 199/75, 1920/681

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 199/75,1920/681

Given numbers are 199/75,1920/681

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 199,1920

Least Common Multiple of Numerators i.e. LCM of 199,1920 is 382080.

GCF of Denominators means GCF of 75,681 as per the given fractions.

GCF of 75,681 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 199,1920

LCM of Fractions 199/75,1920/681 is 127360

Given numbers has no common factors except 1. So, there LCM is their product i.e 382080

Least Common Multiple of 199,1920 with GCF Formula

Least Common Multiple of 199,1920 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 199,1920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,1920) = 1

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

GCF(199,1920) x common factors =1 x 1 = 1

LCM(199,1920) = ( 199 × 1920 ) / 1

LCM(199,1920) = 382080 / 1

LCM(199,1920) = 382080


Lets's calculate GCF of 75,681

3 75, 681
25, 227

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 382080/3

Therefore the LCM of Fractions 199/75,1920/681 is 127360

Greatest Common Factor of 75,681 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,681 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Greatest Common Factor

We found the factors 75,681 . The biggest common factor number is the GCF number.
So the greatest common factor 75,681 is 3.


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 199/75, 1920/681

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 199/75, 1920/681?

Answer: LCM of Numerators as per given numbers 199/75, 1920/681 is

LCM of Numerators i.e. for 199,1920 is 382080

GCF of denominators i.e. for 75,681 is 3.

Thus, LCM of Fractions is 127360.Finally, LCM of Fractions for 199/75, 1920/681 is 127360.