Given numbers are 460,715,458,553

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

The LCM of 460,715,458,553 is 8330181860.

Find LCM of 460,715,458,553 with Prime Factorization

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

2 x 5 x 46 x 143 x 229 x 553 = 8330181860

Therefore, the lowest common multiple of 460,715,458,553 is 8330181860.

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.

460 x 715 x 458 x 553 = 83301818600

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.

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

715 : 1, 5, 11, 13, 55, 65, 143, 715

458 : 1, 2, 229, 458

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,715,458,553, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

715:5x 11x 13

458:2x 229

553:7x 79

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 83301818600/(1x10)

LCM = 83301818600/10

LCM = 8330181860

Thus, we can understand that the LCM of 460,715,458,553 is 8330181860.

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

• LCM of 812, 918, 377, 476
• LCM of 123, 678, 552, 914
• LCM of 151, 142, 994, 474
• LCM of 256, 516, 924, 363
• LCM of 670, 867, 122, 975

1. What is the LCM of 460, 715, 458, 553?

Answer: LCM of 460, 715, 458, 553 is 8330181860.

2. How to calculate the LCM of 460, 715, 458, 553?

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 460, 715, 458, 553.

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}.