Least Common Multiple of 8784/280, 3600/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8784/280, 3600/201 quickly i.e. 219600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8784/280, 3600/201 is 219600.

LCM(8784/280, 3600/201) = 219600

LCM of 8784/280, 3600/201

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 8784/280,3600/201

Given numbers are 8784/280,3600/201

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 8784,3600

Least Common Multiple of Numerators i.e. LCM of 8784,3600 is 219600.

GCF of Denominators means GCF of 280,201 as per the given fractions.

GCF of 280,201 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8784,3600

LCM of Fractions 8784/280,3600/201 is 219600

2 8784, 3600
2 4392, 1800
2 2196, 900
2 1098, 450
3 549, 225
3 183, 75
61, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 61 x 25 = 219600

Least Common Multiple of 8784,3600 with GCF Formula

Least Common Multiple of 8784,3600 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 8784,3600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8784,3600) = 144

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

GCF(8784,3600) x common factors =144 x 1 = 144

LCM(8784,3600) = ( 8784 × 3600 ) / 144

LCM(8784,3600) = 31622400 / 144

LCM(8784,3600) = 219600


Lets's calculate GCF of 280,201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219600/1

Therefore the LCM of Fractions 8784/280,3600/201 is 219600

Greatest Common Factor of 280,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,201 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 280,201 . The biggest common factor number is the GCF number.
So the greatest common factor 280,201 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 8784/280, 3600/201

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 8784/280, 3600/201?

Answer: LCM of Numerators as per given numbers 8784/280, 3600/201 is

LCM of Numerators i.e. for 8784,3600 is 219600

GCF of denominators i.e. for 280,201 is 1.

Thus, LCM of Fractions is 219600.Finally, LCM of Fractions for 8784/280, 3600/201 is 219600.