Least Common Multiple of 11/209, 9978/2275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/209, 9978/2275 quickly i.e. 109758 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/209, 9978/2275 is 109758.

LCM(11/209, 9978/2275) = 109758

LCM of 11/209, 9978/2275

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 11/209,9978/2275

Given numbers are 11/209,9978/2275

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 11,9978

Least Common Multiple of Numerators i.e. LCM of 11,9978 is 109758.

GCF of Denominators means GCF of 209,2275 as per the given fractions.

GCF of 209,2275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,9978

LCM of Fractions 11/209,9978/2275 is 109758

Given numbers has no common factors except 1. So, there LCM is their product i.e 109758

Least Common Multiple of 11,9978 with GCF Formula

Least Common Multiple of 11,9978 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 11,9978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,9978) = 1

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

GCF(11,9978) x common factors =1 x 1 = 1

LCM(11,9978) = ( 11 × 9978 ) / 1

LCM(11,9978) = 109758 / 1

LCM(11,9978) = 109758


Lets's calculate GCF of 209,2275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109758/1

Therefore the LCM of Fractions 11/209,9978/2275 is 109758

Greatest Common Factor of 209,2275 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,2275 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 2275

List of positive integer factors of 2275 that divides 2275 without a remainder.

1,5,7,13,25,35,65,91,175,325,455,2275

Greatest Common Factor

We found the factors 209,2275 . The biggest common factor number is the GCF number.
So the greatest common factor 209,2275 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 11/209, 9978/2275

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 11/209, 9978/2275?

Answer: LCM of Numerators as per given numbers 11/209, 9978/2275 is

LCM of Numerators i.e. for 11,9978 is 109758

GCF of denominators i.e. for 209,2275 is 1.

Thus, LCM of Fractions is 109758.Finally, LCM of Fractions for 11/209, 9978/2275 is 109758.