Least Common Multiple of 855/99, 4219/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 855/99, 4219/396 quickly i.e. 3607245/99 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 855/99, 4219/396 is 3607245/99.

LCM(855/99, 4219/396) = 3607245/99

LCM of 855/99, 4219/396

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 855/99,4219/396

Given numbers are 855/99,4219/396

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 855,4219

Least Common Multiple of Numerators i.e. LCM of 855,4219 is 3607245.

GCF of Denominators means GCF of 99,396 as per the given fractions.

GCF of 99,396 is 99 as it is the largest common factor for these numbers.

Lets's calculate LCM of 855,4219

LCM of Fractions 855/99,4219/396 is 3607245/99

Given numbers has no common factors except 1. So, there LCM is their product i.e 3607245

Least Common Multiple of 855,4219 with GCF Formula

Least Common Multiple of 855,4219 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 855,4219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,4219) = 1

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

GCF(855,4219) x common factors =1 x 1 = 1

LCM(855,4219) = ( 855 × 4219 ) / 1

LCM(855,4219) = 3607245 / 1

LCM(855,4219) = 3607245


Lets's calculate GCF of 99,396

3 99, 396
3 33, 132
11 11, 44
1, 4

∴ So the GCF of the given numbers is 3 x 3 x 11 = 99

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3607245/99

Therefore the LCM of Fractions 855/99,4219/396 is 3607245/99

Greatest Common Factor of 99,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,396 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 99,396 . The biggest common factor number is the GCF number.
So the greatest common factor 99,396 is 99.


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Frequently Asked Questions on Fractional LCM of 855/99, 4219/396

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 855/99, 4219/396?

Answer: LCM of Numerators as per given numbers 855/99, 4219/396 is

LCM of Numerators i.e. for 855,4219 is 3607245

GCF of denominators i.e. for 99,396 is 99.

Thus, LCM of Fractions is 3607245/99.Finally, LCM of Fractions for 855/99, 4219/396 is 3607245/99.