Least Common Multiple of 86/31, 85/38, 60/30, 24/601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/31, 85/38, 60/30, 24/601 quickly i.e. 87720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/31, 85/38, 60/30, 24/601 is 87720.

LCM(86/31, 85/38, 60/30, 24/601) = 87720

LCM of 86/31, 85/38, 60/30, 24/601

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 86/31,85/38,60/30,24/601

Given numbers are 86/31,85/38,60/30,24/601

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 86,85,60,24

Least Common Multiple of Numerators i.e. LCM of 86,85,60,24 is 87720.

GCF of Denominators means GCF of 31,38,30,601 as per the given fractions.

GCF of 31,38,30,601 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,85,60,24

LCM of Fractions 86/31,85/38,60/30,24/601 is 87720

2 86, 85, 60, 24
2 43, 85, 30, 12
3 43, 85, 15, 6
5 43, 85, 5, 2
43, 17, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 43 x 17 x 1 x 2 = 87720

Least Common Multiple of 86,85,60,24 with GCF Formula

Least Common Multiple of 86,85,60,24 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 86,85,60,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,85,60,24) = 1

common factors(in case of two or more numbers have common factors) = 120

GCF(86,85,60,24) x common factors =1 x 120 = 120

LCM(86,85,60,24) = ( 86 × 85 × 60 × 24 ) / 120

LCM(86,85,60,24) = 10526400 / 120

LCM(86,85,60,24) = 87720


Lets's calculate GCF of 31,38,30,601

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87720/1

Therefore the LCM of Fractions 86/31,85/38,60/30,24/601 is 87720

Greatest Common Factor of 31,38,30,601 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,38,30,601 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Greatest Common Factor

We found the factors 31,38,30,601 . The biggest common factor number is the GCF number.
So the greatest common factor 31,38,30,601 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 86/31, 85/38, 60/30, 24/601

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 86/31, 85/38, 60/30, 24/601?

Answer: LCM of Numerators as per given numbers 86/31, 85/38, 60/30, 24/601 is

LCM of Numerators i.e. for 86,85,60,24 is 87720

GCF of denominators i.e. for 31,38,30,601 is 1.

Thus, LCM of Fractions is 87720.Finally, LCM of Fractions for 86/31, 85/38, 60/30, 24/601 is 87720.