Least Common Multiple of 51/222, 69/138, 897/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/222, 69/138, 897/904 quickly i.e. 15249/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/222, 69/138, 897/904 is 15249/2.

LCM(51/222, 69/138, 897/904) = 15249/2

LCM of 51/222, 69/138, 897/904

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 51/222,69/138,897/904

Given numbers are 51/222,69/138,897/904

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 51,69,897

Least Common Multiple of Numerators i.e. LCM of 51,69,897 is 15249.

GCF of Denominators means GCF of 222,138,904 as per the given fractions.

GCF of 222,138,904 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,69,897

LCM of Fractions 51/222,69/138,897/904 is 15249/2

3 51, 69, 897
23 17, 23, 299
17, 1, 13

∴ So the LCM of the given numbers is 3 x 23 x 17 x 1 x 13 = 15249

Least Common Multiple of 51,69,897 with GCF Formula

Least Common Multiple of 51,69,897 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 51,69,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,69,897) = 3

common factors(in case of two or more numbers have common factors) = 69

GCF(51,69,897) x common factors =3 x 69 = 207

LCM(51,69,897) = ( 51 × 69 × 897 ) / 207

LCM(51,69,897) = 3156543 / 207

LCM(51,69,897) = 15249


Lets's calculate GCF of 222,138,904

2 222, 138, 904
111, 69, 452

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15249/2

Therefore the LCM of Fractions 51/222,69/138,897/904 is 15249/2

Greatest Common Factor of 222,138,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,138,904 By Matching Biggest Common Factor Method

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 222,138,904 . The biggest common factor number is the GCF number.
So the greatest common factor 222,138,904 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 51/222, 69/138, 897/904

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 51/222, 69/138, 897/904?

Answer: LCM of Numerators as per given numbers 51/222, 69/138, 897/904 is

LCM of Numerators i.e. for 51,69,897 is 15249

GCF of denominators i.e. for 222,138,904 is 2.

Thus, LCM of Fractions is 15249/2.Finally, LCM of Fractions for 51/222, 69/138, 897/904 is 15249/2.