LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 306, 587, 284, 282, 824

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 306, 587, 284, 282, 824 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 306, 587, 284, 282, 824. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 306,587,284,282,824

Given numbers are 306,587,284,282,824

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 306,587,284,282,824 is 246952228968.

Find LCM of 306,587,284,282,824 with Prime Factorization


2 306, 587, 284, 282, 824
2 153, 587, 142, 141, 412
3 153, 587, 71, 141, 206
51, 587, 71, 47, 206

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 51 x 587 x 71 x 47 x 206 = 246952228968

Therefore, the lowest common multiple of 306,587,284,282,824 is 246952228968.

LCM Formula to Find Lowest Common Multiple of 306,587,284,282,824

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

306 x 587 x 284 x 282 x 824 = 11853706990464

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

587 : 1, 587

284 : 1, 2, 4, 71, 142, 284

282 : 1, 2, 3, 6, 47, 94, 141, 282

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,587,284,282,824, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

587:587

284:2x 2x 71

282:2x 3x 47

824:2x 2x 2x 103

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 3 = 48

Therefore, the value for common factors is 48.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 11853706990464/(1x48)

LCM = 11853706990464/48

LCM = 246952228968

Thus, we can understand that the LCM of 306,587,284,282,824 is 246952228968.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 306, 587, 284, 282, 824

1. What is the LCM of 306, 587, 284, 282, 824?

Answer: LCM of 306, 587, 284, 282, 824 is 246952228968.

2. How to calculate the LCM of 306, 587, 284, 282, 824?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 306, 587, 284, 282, 824.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.