Least Common Multiple of 299/78, 533/8057

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 299/78, 533/8057 quickly i.e. 12259 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 299/78, 533/8057 is 12259.

LCM(299/78, 533/8057) = 12259

LCM of 299/78, 533/8057

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 299/78,533/8057

Given numbers are 299/78,533/8057

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 299,533

Least Common Multiple of Numerators i.e. LCM of 299,533 is 12259.

GCF of Denominators means GCF of 78,8057 as per the given fractions.

GCF of 78,8057 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 299,533

LCM of Fractions 299/78,533/8057 is 12259

13 299, 533
23, 41

∴ So the LCM of the given numbers is 13 x 23 x 41 = 12259

Least Common Multiple of 299,533 with GCF Formula

Least Common Multiple of 299,533 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 299,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,533) = 13

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

GCF(299,533) x common factors =13 x 1 = 13

LCM(299,533) = ( 299 × 533 ) / 13

LCM(299,533) = 159367 / 13

LCM(299,533) = 12259


Lets's calculate GCF of 78,8057

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12259/1

Therefore the LCM of Fractions 299/78,533/8057 is 12259

Greatest Common Factor of 78,8057 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,8057 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 8057

List of positive integer factors of 8057 that divides 8057 without a remainder.

1,7,1151,8057

Greatest Common Factor

We found the factors 78,8057 . The biggest common factor number is the GCF number.
So the greatest common factor 78,8057 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 299/78, 533/8057

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 299/78, 533/8057?

Answer: LCM of Numerators as per given numbers 299/78, 533/8057 is

LCM of Numerators i.e. for 299,533 is 12259

GCF of denominators i.e. for 78,8057 is 1.

Thus, LCM of Fractions is 12259.Finally, LCM of Fractions for 299/78, 533/8057 is 12259.