Least Common Multiple of 59/400, 985/522, 741/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/400, 985/522, 741/555 quickly i.e. 43063215 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/400, 985/522, 741/555 is 43063215.

LCM(59/400, 985/522, 741/555) = 43063215

LCM of 59/400, 985/522, 741/555

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 59/400,985/522,741/555

Given numbers are 59/400,985/522,741/555

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 59,985,741

Least Common Multiple of Numerators i.e. LCM of 59,985,741 is 43063215.

GCF of Denominators means GCF of 400,522,555 as per the given fractions.

GCF of 400,522,555 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,985,741

LCM of Fractions 59/400,985/522,741/555 is 43063215

Given numbers has no common factors except 1. So, there LCM is their product i.e 43063215

Least Common Multiple of 59,985,741 with GCF Formula

Least Common Multiple of 59,985,741 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 59,985,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,985,741) = 1

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

GCF(59,985,741) x common factors =1 x 1 = 1

LCM(59,985,741) = ( 59 × 985 × 741 ) / 1

LCM(59,985,741) = 43063215 / 1

LCM(59,985,741) = 43063215


Lets's calculate GCF of 400,522,555

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43063215/1

Therefore the LCM of Fractions 59/400,985/522,741/555 is 43063215

Greatest Common Factor of 400,522,555 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,522,555 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

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 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Greatest Common Factor

We found the factors 400,522,555 . The biggest common factor number is the GCF number.
So the greatest common factor 400,522,555 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 59/400, 985/522, 741/555

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 59/400, 985/522, 741/555?

Answer: LCM of Numerators as per given numbers 59/400, 985/522, 741/555 is

LCM of Numerators i.e. for 59,985,741 is 43063215

GCF of denominators i.e. for 400,522,555 is 1.

Thus, LCM of Fractions is 43063215.Finally, LCM of Fractions for 59/400, 985/522, 741/555 is 43063215.