Least Common Multiple of 86/401, 113/522, 139/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/401, 113/522, 139/900 quickly i.e. 1350802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/401, 113/522, 139/900 is 1350802.

LCM(86/401, 113/522, 139/900) = 1350802

LCM of 86/401, 113/522, 139/900

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 86/401,113/522,139/900

Given numbers are 86/401,113/522,139/900

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 86,113,139

Least Common Multiple of Numerators i.e. LCM of 86,113,139 is 1350802.

GCF of Denominators means GCF of 401,522,900 as per the given fractions.

GCF of 401,522,900 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,113,139

LCM of Fractions 86/401,113/522,139/900 is 1350802

Given numbers has no common factors except 1. So, there LCM is their product i.e 1350802

Least Common Multiple of 86,113,139 with GCF Formula

Least Common Multiple of 86,113,139 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 86,113,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,113,139) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(86,113,139) x common factors =1 x 1 = 1

LCM(86,113,139) = ( 86 × 113 × 139 ) / 1

LCM(86,113,139) = 1350802 / 1

LCM(86,113,139) = 1350802


Lets's calculate GCF of 401,522,900

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1350802/1

Therefore the LCM of Fractions 86/401,113/522,139/900 is 1350802

Greatest Common Factor of 401,522,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 401,522,900 By Matching Biggest Common Factor Method

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 401,522,900 . The biggest common factor number is the GCF number.
So the greatest common factor 401,522,900 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 86/401, 113/522, 139/900

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 86/401, 113/522, 139/900?

Answer: LCM of Numerators as per given numbers 86/401, 113/522, 139/900 is

LCM of Numerators i.e. for 86,113,139 is 1350802

GCF of denominators i.e. for 401,522,900 is 1.

Thus, LCM of Fractions is 1350802.Finally, LCM of Fractions for 86/401, 113/522, 139/900 is 1350802.