Least Common Multiple of 506/37, 827/55, 112/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 506/37, 827/55, 112/200 quickly i.e. 23433872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 506/37, 827/55, 112/200 is 23433872.

LCM(506/37, 827/55, 112/200) = 23433872

LCM of 506/37, 827/55, 112/200

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 506/37,827/55,112/200

Given numbers are 506/37,827/55,112/200

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 506,827,112

Least Common Multiple of Numerators i.e. LCM of 506,827,112 is 23433872.

GCF of Denominators means GCF of 37,55,200 as per the given fractions.

GCF of 37,55,200 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 506,827,112

LCM of Fractions 506/37,827/55,112/200 is 23433872

2 506, 827, 112
253, 827, 56

∴ So the LCM of the given numbers is 2 x 253 x 827 x 56 = 23433872

Least Common Multiple of 506,827,112 with GCF Formula

Least Common Multiple of 506,827,112 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 506,827,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,827,112) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(506,827,112) x common factors =1 x 2 = 2

LCM(506,827,112) = ( 506 × 827 × 112 ) / 2

LCM(506,827,112) = 46867744 / 2

LCM(506,827,112) = 23433872


Lets's calculate GCF of 37,55,200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23433872/1

Therefore the LCM of Fractions 506/37,827/55,112/200 is 23433872

Greatest Common Factor of 37,55,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,55,200 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

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 37,55,200 . The biggest common factor number is the GCF number.
So the greatest common factor 37,55,200 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 506/37, 827/55, 112/200

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 506/37, 827/55, 112/200?

Answer: LCM of Numerators as per given numbers 506/37, 827/55, 112/200 is

LCM of Numerators i.e. for 506,827,112 is 23433872

GCF of denominators i.e. for 37,55,200 is 1.

Thus, LCM of Fractions is 23433872.Finally, LCM of Fractions for 506/37, 827/55, 112/200 is 23433872.