Least Common Multiple of 86/466, 692/850, 872/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/466, 692/850, 872/386 quickly i.e. 3243404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/466, 692/850, 872/386 is 3243404.

LCM(86/466, 692/850, 872/386) = 3243404

LCM of 86/466, 692/850, 872/386

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 86/466,692/850,872/386

Given numbers are 86/466,692/850,872/386

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 86,692,872

Least Common Multiple of Numerators i.e. LCM of 86,692,872 is 6486808.

GCF of Denominators means GCF of 466,850,386 as per the given fractions.

GCF of 466,850,386 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,692,872

LCM of Fractions 86/466,692/850,872/386 is 3243404

2 86, 692, 872
2 43, 346, 436
43, 173, 218

∴ So the LCM of the given numbers is 2 x 2 x 43 x 173 x 218 = 6486808

Least Common Multiple of 86,692,872 with GCF Formula

Least Common Multiple of 86,692,872 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 86,692,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,692,872) = 2

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

GCF(86,692,872) x common factors =2 x 4 = 8

LCM(86,692,872) = ( 86 × 692 × 872 ) / 8

LCM(86,692,872) = 51894464 / 8

LCM(86,692,872) = 6486808


Lets's calculate GCF of 466,850,386

2 466, 850, 386
233, 425, 193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6486808/2

Therefore the LCM of Fractions 86/466,692/850,872/386 is 3243404

Greatest Common Factor of 466,850,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,850,386 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 466,850,386 . The biggest common factor number is the GCF number.
So the greatest common factor 466,850,386 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 86/466, 692/850, 872/386

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 86/466, 692/850, 872/386?

Answer: LCM of Numerators as per given numbers 86/466, 692/850, 872/386 is

LCM of Numerators i.e. for 86,692,872 is 6486808

GCF of denominators i.e. for 466,850,386 is 2.

Thus, LCM of Fractions is 3243404.Finally, LCM of Fractions for 86/466, 692/850, 872/386 is 3243404.