Least Common Multiple of 4409/153, 1219/6648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4409/153, 1219/6648 quickly i.e. 5374571/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4409/153, 1219/6648 is 5374571/3.

LCM(4409/153, 1219/6648) = 5374571/3

LCM of 4409/153, 1219/6648

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 4409/153,1219/6648

Given numbers are 4409/153,1219/6648

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 4409,1219

Least Common Multiple of Numerators i.e. LCM of 4409,1219 is 5374571.

GCF of Denominators means GCF of 153,6648 as per the given fractions.

GCF of 153,6648 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4409,1219

LCM of Fractions 4409/153,1219/6648 is 5374571/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 5374571

Least Common Multiple of 4409,1219 with GCF Formula

Least Common Multiple of 4409,1219 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 4409,1219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4409,1219) = 1

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

GCF(4409,1219) x common factors =1 x 1 = 1

LCM(4409,1219) = ( 4409 × 1219 ) / 1

LCM(4409,1219) = 5374571 / 1

LCM(4409,1219) = 5374571


Lets's calculate GCF of 153,6648

3 153, 6648
51, 2216

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5374571/3

Therefore the LCM of Fractions 4409/153,1219/6648 is 5374571/3

Greatest Common Factor of 153,6648 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,6648 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 6648

List of positive integer factors of 6648 that divides 6648 without a remainder.

1,2,3,4,6,8,12,24,277,554,831,1108,1662,2216,3324,6648

Greatest Common Factor

We found the factors 153,6648 . The biggest common factor number is the GCF number.
So the greatest common factor 153,6648 is 3.


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 4409/153, 1219/6648

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 4409/153, 1219/6648?

Answer: LCM of Numerators as per given numbers 4409/153, 1219/6648 is

LCM of Numerators i.e. for 4409,1219 is 5374571

GCF of denominators i.e. for 153,6648 is 3.

Thus, LCM of Fractions is 5374571/3.Finally, LCM of Fractions for 4409/153, 1219/6648 is 5374571/3.