Least Common Multiple of 86/494, 20/374, 924/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/494, 20/374, 924/308 quickly i.e. 99330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/494, 20/374, 924/308 is 99330.

LCM(86/494, 20/374, 924/308) = 99330

LCM of 86/494, 20/374, 924/308

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 86/494,20/374,924/308

Given numbers are 86/494,20/374,924/308

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 86,20,924

Least Common Multiple of Numerators i.e. LCM of 86,20,924 is 198660.

GCF of Denominators means GCF of 494,374,308 as per the given fractions.

GCF of 494,374,308 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,20,924

LCM of Fractions 86/494,20/374,924/308 is 99330

2 86, 20, 924
2 43, 10, 462
43, 5, 231

∴ So the LCM of the given numbers is 2 x 2 x 43 x 5 x 231 = 198660

Least Common Multiple of 86,20,924 with GCF Formula

Least Common Multiple of 86,20,924 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 86,20,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,20,924) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(86,20,924) x common factors =2 x 4 = 8

LCM(86,20,924) = ( 86 × 20 × 924 ) / 8

LCM(86,20,924) = 1589280 / 8

LCM(86,20,924) = 198660


Lets's calculate GCF of 494,374,308

2 494, 374, 308
247, 187, 154

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198660/2

Therefore the LCM of Fractions 86/494,20/374,924/308 is 99330

Greatest Common Factor of 494,374,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,374,308 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 494,374,308 . The biggest common factor number is the GCF number.
So the greatest common factor 494,374,308 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 86/494, 20/374, 924/308

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 86/494, 20/374, 924/308?

Answer: LCM of Numerators as per given numbers 86/494, 20/374, 924/308 is

LCM of Numerators i.e. for 86,20,924 is 198660

GCF of denominators i.e. for 494,374,308 is 2.

Thus, LCM of Fractions is 99330.Finally, LCM of Fractions for 86/494, 20/374, 924/308 is 99330.