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LCM of 802, 802, 390, 509

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


Find the LCM of 802, 802, 390, 509 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 802, 802, 390, 509. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 802,802,390,509

Given numbers are 802,802,390,509

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

The LCM of 802,802,390,509 is 79602510.

Find LCM of 802,802,390,509 with Prime Factorization


2 802, 802, 390, 509
401 401, 401, 195, 509
1, 1, 195, 509

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

2 x 401 x 1 x 1 x 195 x 509 = 79602510

Therefore, the lowest common multiple of 802,802,390,509 is 79602510.

LCM Formula to Find Lowest Common Multiple of 802,802,390,509

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.

802 x 802 x 390 x 509 = 127682426040

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.

802 : 1, 2, 401, 802

802 : 1, 2, 401, 802

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,802,390,509, is 1.

Now, the common factors can be found like this.

802:2x 401

802:2x 401

390:2x 3x 5x 13

509:509

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 401 = 1604

Therefore, the value for common factors is 1604.

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 = 127682426040/(1x1604)

LCM = 127682426040/1604

LCM = 79602510

Thus, we can understand that the LCM of 802,802,390,509 is 79602510.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 802, 802, 390, 509

1. What is the LCM of 802, 802, 390, 509?

Answer: LCM of 802, 802, 390, 509 is 79602510.

2. How to calculate the LCM of 802, 802, 390, 509?

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 802, 802, 390, 509.

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}.