Least Common Multiple of 299/45, 839/8582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 299/45, 839/8582 quickly i.e. 250861 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 299/45, 839/8582 is 250861.

LCM(299/45, 839/8582) = 250861

LCM of 299/45, 839/8582

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 299/45,839/8582

Given numbers are 299/45,839/8582

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 299,839

Least Common Multiple of Numerators i.e. LCM of 299,839 is 250861.

GCF of Denominators means GCF of 45,8582 as per the given fractions.

GCF of 45,8582 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 299,839

LCM of Fractions 299/45,839/8582 is 250861

Given numbers has no common factors except 1. So, there LCM is their product i.e 250861

Least Common Multiple of 299,839 with GCF Formula

Least Common Multiple of 299,839 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 299,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,839) = 1

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

GCF(299,839) x common factors =1 x 1 = 1

LCM(299,839) = ( 299 × 839 ) / 1

LCM(299,839) = 250861 / 1

LCM(299,839) = 250861


Lets's calculate GCF of 45,8582

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 250861/1

Therefore the LCM of Fractions 299/45,839/8582 is 250861

Greatest Common Factor of 45,8582 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,8582 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 8582

List of positive integer factors of 8582 that divides 8582 without a remainder.

1,2,7,14,613,1226,4291,8582

Greatest Common Factor

We found the factors 45,8582 . The biggest common factor number is the GCF number.
So the greatest common factor 45,8582 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 299/45, 839/8582

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 299/45, 839/8582?

Answer: LCM of Numerators as per given numbers 299/45, 839/8582 is

LCM of Numerators i.e. for 299,839 is 250861

GCF of denominators i.e. for 45,8582 is 1.

Thus, LCM of Fractions is 250861.Finally, LCM of Fractions for 299/45, 839/8582 is 250861.