Given numbers are 516,377,460

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

The LCM of 516,377,460 is 22371180.

Find LCM of 516,377,460 with Prime Factorization

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

2 x 2 x 129 x 377 x 115 = 22371180

Therefore, the lowest common multiple of 516,377,460 is 22371180.

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.

516 x 377 x 460 = 89484720

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.

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

377 : 1, 13, 29, 377

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,377,460, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

377:13x 29

460:2x 2x 5x 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 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 = 89484720/(1x4)

LCM = 89484720/4

LCM = 22371180

Thus, we can understand that the LCM of 516,377,460 is 22371180.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 550, 310, 547
• LCM of 606, 188, 434
• LCM of 233, 293, 570
• LCM of 692, 825, 591
• LCM of 681, 427, 306

1. What is the LCM of 516, 377, 460?

Answer: LCM of 516, 377, 460 is 22371180.

2. How to calculate the LCM of 516, 377, 460?

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 516, 377, 460.

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}.