Least Common Multiple of 69/215, 281/789, 189/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/215, 281/789, 189/552 quickly i.e. 1221507 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/215, 281/789, 189/552 is 1221507.

LCM(69/215, 281/789, 189/552) = 1221507

LCM of 69/215, 281/789, 189/552

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 69/215,281/789,189/552

Given numbers are 69/215,281/789,189/552

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 69,281,189

Least Common Multiple of Numerators i.e. LCM of 69,281,189 is 1221507.

GCF of Denominators means GCF of 215,789,552 as per the given fractions.

GCF of 215,789,552 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,281,189

LCM of Fractions 69/215,281/789,189/552 is 1221507

3 69, 281, 189
23, 281, 63

∴ So the LCM of the given numbers is 3 x 23 x 281 x 63 = 1221507

Least Common Multiple of 69,281,189 with GCF Formula

Least Common Multiple of 69,281,189 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 69,281,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,281,189) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,281,189) x common factors =1 x 3 = 3

LCM(69,281,189) = ( 69 × 281 × 189 ) / 3

LCM(69,281,189) = 3664521 / 3

LCM(69,281,189) = 1221507


Lets's calculate GCF of 215,789,552

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1221507/1

Therefore the LCM of Fractions 69/215,281/789,189/552 is 1221507

Greatest Common Factor of 215,789,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 215,789,552 By Matching Biggest Common Factor Method

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 215,789,552 . The biggest common factor number is the GCF number.
So the greatest common factor 215,789,552 is 1.


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 69/215, 281/789, 189/552

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 69/215, 281/789, 189/552?

Answer: LCM of Numerators as per given numbers 69/215, 281/789, 189/552 is

LCM of Numerators i.e. for 69,281,189 is 1221507

GCF of denominators i.e. for 215,789,552 is 1.

Thus, LCM of Fractions is 1221507.Finally, LCM of Fractions for 69/215, 281/789, 189/552 is 1221507.