Least Common Multiple of 50/362, 8001/2200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 50/362, 8001/2200 quickly i.e. 200025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/362, 8001/2200 is 200025.

LCM(50/362, 8001/2200) = 200025

LCM of 50/362, 8001/2200

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 50/362,8001/2200

Given numbers are 50/362,8001/2200

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 50,8001

Least Common Multiple of Numerators i.e. LCM of 50,8001 is 400050.

GCF of Denominators means GCF of 362,2200 as per the given fractions.

GCF of 362,2200 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,8001

LCM of Fractions 50/362,8001/2200 is 200025

Given numbers has no common factors except 1. So, there LCM is their product i.e 400050

Least Common Multiple of 50,8001 with GCF Formula

Least Common Multiple of 50,8001 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 50,8001 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,8001) = 1

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

GCF(50,8001) x common factors =1 x 1 = 1

LCM(50,8001) = ( 50 × 8001 ) / 1

LCM(50,8001) = 400050 / 1

LCM(50,8001) = 400050


Lets's calculate GCF of 362,2200

2 362, 2200
181, 1100

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 400050/2

Therefore the LCM of Fractions 50/362,8001/2200 is 200025

Greatest Common Factor of 362,2200 By Matching Biggest Common Factor Method

Greatest Common Factor of 362,2200 By Matching Biggest Common Factor Method

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 2200

List of positive integer factors of 2200 that divides 2200 without a remainder.

1,2,4,5,8,10,11,20,22,25,40,44,50,55,88,100,110,200,220,275,440,550,1100,2200

Greatest Common Factor

We found the factors 362,2200 . The biggest common factor number is the GCF number.
So the greatest common factor 362,2200 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 50/362, 8001/2200

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 50/362, 8001/2200?

Answer: LCM of Numerators as per given numbers 50/362, 8001/2200 is

LCM of Numerators i.e. for 50,8001 is 400050

GCF of denominators i.e. for 362,2200 is 2.

Thus, LCM of Fractions is 200025.Finally, LCM of Fractions for 50/362, 8001/2200 is 200025.