Least Common Multiple of 99/770, 3600/5584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/770, 3600/5584 quickly i.e. 19800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/770, 3600/5584 is 19800.

LCM(99/770, 3600/5584) = 19800

LCM of 99/770, 3600/5584

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 99/770,3600/5584

Given numbers are 99/770,3600/5584

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 99,3600

Least Common Multiple of Numerators i.e. LCM of 99,3600 is 39600.

GCF of Denominators means GCF of 770,5584 as per the given fractions.

GCF of 770,5584 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,3600

LCM of Fractions 99/770,3600/5584 is 19800

3 99, 3600
3 33, 1200
11, 400

∴ So the LCM of the given numbers is 3 x 3 x 11 x 400 = 39600

Least Common Multiple of 99,3600 with GCF Formula

Least Common Multiple of 99,3600 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 99,3600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,3600) = 9

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

GCF(99,3600) x common factors =9 x 1 = 9

LCM(99,3600) = ( 99 × 3600 ) / 9

LCM(99,3600) = 356400 / 9

LCM(99,3600) = 39600


Lets's calculate GCF of 770,5584

2 770, 5584
385, 2792

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39600/2

Therefore the LCM of Fractions 99/770,3600/5584 is 19800

Greatest Common Factor of 770,5584 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,5584 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 5584

List of positive integer factors of 5584 that divides 5584 without a remainder.

1,2,4,8,16,349,698,1396,2792,5584

Greatest Common Factor

We found the factors 770,5584 . The biggest common factor number is the GCF number.
So the greatest common factor 770,5584 is 2.


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 99/770, 3600/5584

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 99/770, 3600/5584?

Answer: LCM of Numerators as per given numbers 99/770, 3600/5584 is

LCM of Numerators i.e. for 99,3600 is 39600

GCF of denominators i.e. for 770,5584 is 2.

Thus, LCM of Fractions is 19800.Finally, LCM of Fractions for 99/770, 3600/5584 is 19800.