Least Common Multiple of 86/467, 520/341, 840/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/467, 520/341, 840/311 quickly i.e. 469560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/467, 520/341, 840/311 is 469560.

LCM(86/467, 520/341, 840/311) = 469560

LCM of 86/467, 520/341, 840/311

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 86/467,520/341,840/311

Given numbers are 86/467,520/341,840/311

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 86,520,840

Least Common Multiple of Numerators i.e. LCM of 86,520,840 is 469560.

GCF of Denominators means GCF of 467,341,311 as per the given fractions.

GCF of 467,341,311 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,520,840

LCM of Fractions 86/467,520/341,840/311 is 469560

2 86, 520, 840
2 43, 260, 420
2 43, 130, 210
5 43, 65, 105
43, 13, 21

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 43 x 13 x 21 = 469560

Least Common Multiple of 86,520,840 with GCF Formula

Least Common Multiple of 86,520,840 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 86,520,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,520,840) = 2

common factors(in case of two or more numbers have common factors) = 40

GCF(86,520,840) x common factors =2 x 40 = 80

LCM(86,520,840) = ( 86 × 520 × 840 ) / 80

LCM(86,520,840) = 37564800 / 80

LCM(86,520,840) = 469560


Lets's calculate GCF of 467,341,311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 469560/1

Therefore the LCM of Fractions 86/467,520/341,840/311 is 469560

Greatest Common Factor of 467,341,311 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,341,311 By Matching Biggest Common Factor Method

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Greatest Common Factor

We found the factors 467,341,311 . The biggest common factor number is the GCF number.
So the greatest common factor 467,341,311 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 86/467, 520/341, 840/311

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 86/467, 520/341, 840/311?

Answer: LCM of Numerators as per given numbers 86/467, 520/341, 840/311 is

LCM of Numerators i.e. for 86,520,840 is 469560

GCF of denominators i.e. for 467,341,311 is 1.

Thus, LCM of Fractions is 469560.Finally, LCM of Fractions for 86/467, 520/341, 840/311 is 469560.