Given numbers are 730,770,458,416

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

The LCM of 730,770,458,416 is 2677394720.

Find LCM of 730,770,458,416 with Prime Factorization

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

2 x 5 x 73 x 77 x 229 x 208 = 2677394720

Therefore, the lowest common multiple of 730,770,458,416 is 2677394720.

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.

730 x 770 x 458 x 416 = 107095788800

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

458 : 1, 2, 229, 458

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,770,458,416, is 2.

Now, the common factors can be found like this.

730:2x 5x 73

770:2x 5x 7x 11

458:2x 229

416:2x 2x 2x 2x 2x 13

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 5 = 20

Therefore, the value for common factors is 20.

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 = 107095788800/(2x20)

LCM = 107095788800/40

LCM = 2677394720

Thus, we can understand that the LCM of 730,770,458,416 is 2677394720.

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

• LCM of 726, 170, 161, 915
• LCM of 609, 311, 873, 784
• LCM of 486, 519, 114, 521
• LCM of 840, 915, 988, 522
• LCM of 990, 205, 689, 286

1. What is the LCM of 730, 770, 458, 416?

Answer: LCM of 730, 770, 458, 416 is 2677394720.

2. How to calculate the LCM of 730, 770, 458, 416?

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 730, 770, 458, 416.

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}.