Least Common Multiple of 906/69, 102/5535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 906/69, 102/5535 quickly i.e. 5134 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 906/69, 102/5535 is 5134.

LCM(906/69, 102/5535) = 5134

LCM of 906/69, 102/5535

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 906/69,102/5535

Given numbers are 906/69,102/5535

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 906,102

Least Common Multiple of Numerators i.e. LCM of 906,102 is 15402.

GCF of Denominators means GCF of 69,5535 as per the given fractions.

GCF of 69,5535 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 906,102

LCM of Fractions 906/69,102/5535 is 5134

2 906, 102
3 453, 51
151, 17

∴ So the LCM of the given numbers is 2 x 3 x 151 x 17 = 15402

Least Common Multiple of 906,102 with GCF Formula

Least Common Multiple of 906,102 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 906,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,102) = 6

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

GCF(906,102) x common factors =6 x 1 = 6

LCM(906,102) = ( 906 × 102 ) / 6

LCM(906,102) = 92412 / 6

LCM(906,102) = 15402


Lets's calculate GCF of 69,5535

3 69, 5535
23, 1845

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15402/3

Therefore the LCM of Fractions 906/69,102/5535 is 5134

Greatest Common Factor of 69,5535 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,5535 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 5535

List of positive integer factors of 5535 that divides 5535 without a remainder.

1,3,5,9,15,27,41,45,123,135,205,369,615,1107,1845,5535

Greatest Common Factor

We found the factors 69,5535 . The biggest common factor number is the GCF number.
So the greatest common factor 69,5535 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 906/69, 102/5535

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 906/69, 102/5535?

Answer: LCM of Numerators as per given numbers 906/69, 102/5535 is

LCM of Numerators i.e. for 906,102 is 15402

GCF of denominators i.e. for 69,5535 is 3.

Thus, LCM of Fractions is 5134.Finally, LCM of Fractions for 906/69, 102/5535 is 5134.