Least Common Multiple of 86/788, 531/594, 838/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/788, 531/594, 838/398 quickly i.e. 9567027 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/788, 531/594, 838/398 is 9567027.

LCM(86/788, 531/594, 838/398) = 9567027

LCM of 86/788, 531/594, 838/398

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 86/788,531/594,838/398

Given numbers are 86/788,531/594,838/398

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 86,531,838

Least Common Multiple of Numerators i.e. LCM of 86,531,838 is 19134054.

GCF of Denominators means GCF of 788,594,398 as per the given fractions.

GCF of 788,594,398 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,531,838

LCM of Fractions 86/788,531/594,838/398 is 9567027

2 86, 531, 838
43, 531, 419

∴ So the LCM of the given numbers is 2 x 43 x 531 x 419 = 19134054

Least Common Multiple of 86,531,838 with GCF Formula

Least Common Multiple of 86,531,838 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 86,531,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,531,838) = 1

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

GCF(86,531,838) x common factors =1 x 2 = 2

LCM(86,531,838) = ( 86 × 531 × 838 ) / 2

LCM(86,531,838) = 38268108 / 2

LCM(86,531,838) = 19134054


Lets's calculate GCF of 788,594,398

2 788, 594, 398
394, 297, 199

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19134054/2

Therefore the LCM of Fractions 86/788,531/594,838/398 is 9567027

Greatest Common Factor of 788,594,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,594,398 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 788,594,398 . The biggest common factor number is the GCF number.
So the greatest common factor 788,594,398 is 2.


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 86/788, 531/594, 838/398

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 86/788, 531/594, 838/398?

Answer: LCM of Numerators as per given numbers 86/788, 531/594, 838/398 is

LCM of Numerators i.e. for 86,531,838 is 19134054

GCF of denominators i.e. for 788,594,398 is 2.

Thus, LCM of Fractions is 9567027.Finally, LCM of Fractions for 86/788, 531/594, 838/398 is 9567027.