Least Common Multiple of 86/419, 216/355, 462/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/419, 216/355, 462/334 quickly i.e. 715176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/419, 216/355, 462/334 is 715176.

LCM(86/419, 216/355, 462/334) = 715176

LCM of 86/419, 216/355, 462/334

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 86/419,216/355,462/334

Given numbers are 86/419,216/355,462/334

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 86,216,462

Least Common Multiple of Numerators i.e. LCM of 86,216,462 is 715176.

GCF of Denominators means GCF of 419,355,334 as per the given fractions.

GCF of 419,355,334 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,216,462

LCM of Fractions 86/419,216/355,462/334 is 715176

2 86, 216, 462
3 43, 108, 231
43, 36, 77

∴ So the LCM of the given numbers is 2 x 3 x 43 x 36 x 77 = 715176

Least Common Multiple of 86,216,462 with GCF Formula

Least Common Multiple of 86,216,462 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 86,216,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,216,462) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(86,216,462) x common factors =2 x 6 = 12

LCM(86,216,462) = ( 86 × 216 × 462 ) / 12

LCM(86,216,462) = 8582112 / 12

LCM(86,216,462) = 715176


Lets's calculate GCF of 419,355,334

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 715176/1

Therefore the LCM of Fractions 86/419,216/355,462/334 is 715176

Greatest Common Factor of 419,355,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 419,355,334 By Matching Biggest Common Factor Method

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 419,355,334 . The biggest common factor number is the GCF number.
So the greatest common factor 419,355,334 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 86/419, 216/355, 462/334

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 86/419, 216/355, 462/334?

Answer: LCM of Numerators as per given numbers 86/419, 216/355, 462/334 is

LCM of Numerators i.e. for 86,216,462 is 715176

GCF of denominators i.e. for 419,355,334 is 1.

Thus, LCM of Fractions is 715176.Finally, LCM of Fractions for 86/419, 216/355, 462/334 is 715176.