Least Common Multiple of 59/556, 468/111, 109/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/556, 468/111, 109/200 quickly i.e. 3009708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/556, 468/111, 109/200 is 3009708.

LCM(59/556, 468/111, 109/200) = 3009708

LCM of 59/556, 468/111, 109/200

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 59/556,468/111,109/200

Given numbers are 59/556,468/111,109/200

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 59,468,109

Least Common Multiple of Numerators i.e. LCM of 59,468,109 is 3009708.

GCF of Denominators means GCF of 556,111,200 as per the given fractions.

GCF of 556,111,200 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,468,109

LCM of Fractions 59/556,468/111,109/200 is 3009708

Given numbers has no common factors except 1. So, there LCM is their product i.e 3009708

Least Common Multiple of 59,468,109 with GCF Formula

Least Common Multiple of 59,468,109 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 59,468,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,468,109) = 1

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

GCF(59,468,109) x common factors =1 x 1 = 1

LCM(59,468,109) = ( 59 × 468 × 109 ) / 1

LCM(59,468,109) = 3009708 / 1

LCM(59,468,109) = 3009708


Lets's calculate GCF of 556,111,200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3009708/1

Therefore the LCM of Fractions 59/556,468/111,109/200 is 3009708

Greatest Common Factor of 556,111,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 556,111,200 By Matching Biggest Common Factor Method

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

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

Greatest Common Factor

We found the factors 556,111,200 . The biggest common factor number is the GCF number.
So the greatest common factor 556,111,200 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 59/556, 468/111, 109/200

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 59/556, 468/111, 109/200?

Answer: LCM of Numerators as per given numbers 59/556, 468/111, 109/200 is

LCM of Numerators i.e. for 59,468,109 is 3009708

GCF of denominators i.e. for 556,111,200 is 1.

Thus, LCM of Fractions is 3009708.Finally, LCM of Fractions for 59/556, 468/111, 109/200 is 3009708.