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LCM of 763, 872, 583, 320

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


Find the LCM of 763, 872, 583, 320 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 763, 872, 583, 320. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 763,872,583,320

Given numbers are 763,872,583,320

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

The LCM of 763,872,583,320 is 142345280.

Find LCM of 763,872,583,320 with Prime Factorization


2 763, 872, 583, 320
2 763, 436, 583, 160
2 763, 218, 583, 80
109 763, 109, 583, 40
7, 1, 583, 40

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

2 x 2 x 2 x 109 x 7 x 1 x 583 x 40 = 142345280

Therefore, the lowest common multiple of 763,872,583,320 is 142345280.

LCM Formula to Find Lowest Common Multiple of 763,872,583,320

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.

763 x 872 x 583 x 320 = 124125084160

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.

763 : 1, 7, 109, 763

872 : 1, 2, 4, 8, 109, 218, 436, 872

583 : 1, 11, 53, 583

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,872,583,320, is 1.

Now, the common factors can be found like this.

763:7x 109

872:2x 2x 2x 109

583:11x 53

320:2x 2x 2x 2x 2x 2x 5

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 109 = 872

Therefore, the value for common factors is 872.

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 = 124125084160/(1x872)

LCM = 124125084160/872

LCM = 142345280

Thus, we can understand that the LCM of 763,872,583,320 is 142345280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 763, 872, 583, 320

1. What is the LCM of 763, 872, 583, 320?

Answer: LCM of 763, 872, 583, 320 is 142345280.

2. How to calculate the LCM of 763, 872, 583, 320?

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 763, 872, 583, 320.

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}.