Least Common Multiple of 13/298, 86/563, 766/941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/298, 86/563, 766/941 quickly i.e. 428194 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/298, 86/563, 766/941 is 428194.

LCM(13/298, 86/563, 766/941) = 428194

LCM of 13/298, 86/563, 766/941

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 13/298,86/563,766/941

Given numbers are 13/298,86/563,766/941

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 13,86,766

Least Common Multiple of Numerators i.e. LCM of 13,86,766 is 428194.

GCF of Denominators means GCF of 298,563,941 as per the given fractions.

GCF of 298,563,941 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,86,766

LCM of Fractions 13/298,86/563,766/941 is 428194

2 13, 86, 766
13, 43, 383

∴ So the LCM of the given numbers is 2 x 13 x 43 x 383 = 428194

Least Common Multiple of 13,86,766 with GCF Formula

Least Common Multiple of 13,86,766 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 13,86,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,86,766) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(13,86,766) x common factors =1 x 2 = 2

LCM(13,86,766) = ( 13 × 86 × 766 ) / 2

LCM(13,86,766) = 856388 / 2

LCM(13,86,766) = 428194


Lets's calculate GCF of 298,563,941

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 428194/1

Therefore the LCM of Fractions 13/298,86/563,766/941 is 428194

Greatest Common Factor of 298,563,941 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,563,941 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Greatest Common Factor

We found the factors 298,563,941 . The biggest common factor number is the GCF number.
So the greatest common factor 298,563,941 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 13/298, 86/563, 766/941

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 13/298, 86/563, 766/941?

Answer: LCM of Numerators as per given numbers 13/298, 86/563, 766/941 is

LCM of Numerators i.e. for 13,86,766 is 428194

GCF of denominators i.e. for 298,563,941 is 1.

Thus, LCM of Fractions is 428194.Finally, LCM of Fractions for 13/298, 86/563, 766/941 is 428194.