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LCM of 306, 530, 239, 796, 506

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


Find the LCM of 306, 530, 239, 796, 506 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, 530, 239, 796, 506. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 306,530,239,796,506

Given numbers are 306,530,239,796,506

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

The LCM of 306,530,239,796,506 is 1951501073940.

Find LCM of 306,530,239,796,506 with Prime Factorization


2 306, 530, 239, 796, 506
153, 265, 239, 398, 253

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

2 x 153 x 265 x 239 x 398 x 253 = 1951501073940

Therefore, the lowest common multiple of 306,530,239,796,506 is 1951501073940.

LCM Formula to Find Lowest Common Multiple of 306,530,239,796,506

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 530 x 239 x 796 x 506 = 15612008591520

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

530 : 1, 2, 5, 10, 53, 106, 265, 530

239 : 1, 239

796 : 1, 2, 4, 199, 398, 796

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,530,239,796,506, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

530:2x 5x 53

239:239

796:2x 2x 199

506:2x 11x 23

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 2 = 8

Therefore, the value for common factors is 8.

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 = 15612008591520/(1x8)

LCM = 15612008591520/8

LCM = 1951501073940

Thus, we can understand that the LCM of 306,530,239,796,506 is 1951501073940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 306, 530, 239, 796, 506

1. What is the LCM of 306, 530, 239, 796, 506?

Answer: LCM of 306, 530, 239, 796, 506 is 1951501073940.

2. How to calculate the LCM of 306, 530, 239, 796, 506?

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, 530, 239, 796, 506.

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}.