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LCM of 510, 407, 718, 766

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


Find the LCM of 510, 407, 718, 766 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 510, 407, 718, 766. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 510,407,718,766

Given numbers are 510,407,718,766

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

The LCM of 510,407,718,766 is 28540252290.

Find LCM of 510,407,718,766 with Prime Factorization


2 510, 407, 718, 766
255, 407, 359, 383

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

2 x 255 x 407 x 359 x 383 = 28540252290

Therefore, the lowest common multiple of 510,407,718,766 is 28540252290.

LCM Formula to Find Lowest Common Multiple of 510,407,718,766

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.

510 x 407 x 718 x 766 = 114161009160

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.

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

407 : 1, 11, 37, 407

718 : 1, 2, 359, 718

766 : 1, 2, 383, 766

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,407,718,766, is 1.

Now, the common factors can be found like this.

510:2x 3x 5x 17

407:11x 37

718:2x 359

766:2x 383

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 114161009160/(1x4)

LCM = 114161009160/4

LCM = 28540252290

Thus, we can understand that the LCM of 510,407,718,766 is 28540252290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 510, 407, 718, 766

1. What is the LCM of 510, 407, 718, 766?

Answer: LCM of 510, 407, 718, 766 is 28540252290.

2. How to calculate the LCM of 510, 407, 718, 766?

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 510, 407, 718, 766.

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}.