Least Common Multiple of 383/98, 889/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 383/98, 889/309 quickly i.e. 340487 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 383/98, 889/309 is 340487.

LCM(383/98, 889/309) = 340487

LCM of 383/98, 889/309

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 383/98,889/309

Given numbers are 383/98,889/309

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 383,889

Least Common Multiple of Numerators i.e. LCM of 383,889 is 340487.

GCF of Denominators means GCF of 98,309 as per the given fractions.

GCF of 98,309 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 383,889

LCM of Fractions 383/98,889/309 is 340487

Given numbers has no common factors except 1. So, there LCM is their product i.e 340487

Least Common Multiple of 383,889 with GCF Formula

Least Common Multiple of 383,889 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 383,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(383,889) = 1

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

GCF(383,889) x common factors =1 x 1 = 1

LCM(383,889) = ( 383 × 889 ) / 1

LCM(383,889) = 340487 / 1

LCM(383,889) = 340487


Lets's calculate GCF of 98,309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 340487/1

Therefore the LCM of Fractions 383/98,889/309 is 340487

Greatest Common Factor of 98,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,309 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 98,309 . The biggest common factor number is the GCF number.
So the greatest common factor 98,309 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 383/98, 889/309

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 383/98, 889/309?

Answer: LCM of Numerators as per given numbers 383/98, 889/309 is

LCM of Numerators i.e. for 383,889 is 340487

GCF of denominators i.e. for 98,309 is 1.

Thus, LCM of Fractions is 340487.Finally, LCM of Fractions for 383/98, 889/309 is 340487.