Given numbers are 465,253,992

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

The LCM of 465,253,992 is 3764640.

Find LCM of 465,253,992 with Prime Factorization

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

31 x 15 x 253 x 32 = 3764640

Therefore, the lowest common multiple of 465,253,992 is 3764640.

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.

465 x 253 x 992 = 116703840

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.

465 : 1, 3, 5, 15, 31, 93, 155, 465

253 : 1, 11, 23, 253

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,253,992, is 1.

Now, the common factors can be found like this.

465:3x 5x 31

253:11x 23

992:2x 2x 2x 2x 2x 31

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

31 = 31

Therefore, the value for common factors is 31.

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 = 116703840/(1x31)

LCM = 116703840/31

LCM = 3764640

Thus, we can understand that the LCM of 465,253,992 is 3764640.

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

• LCM of 311, 710, 446
• LCM of 359, 519, 726
• LCM of 877, 731, 972
• LCM of 783, 734, 951
• LCM of 530, 233, 608

1. What is the LCM of 465, 253, 992?

Answer: LCM of 465, 253, 992 is 3764640.

2. How to calculate the LCM of 465, 253, 992?

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 465, 253, 992.

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}.