Given numbers are 107,152,578,235,730

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

The LCM of 107,152,578,235,730 is 80633577880.

Find LCM of 107,152,578,235,730 with Prime Factorization

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

2 x 5 x 107 x 76 x 289 x 47 x 73 = 80633577880

Therefore, the lowest common multiple of 107,152,578,235,730 is 80633577880.

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.

107 x 152 x 578 x 235 x 730 = 1612671557600

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.

107 : 1, 107

152 : 1, 2, 4, 8, 19, 38, 76, 152

578 : 1, 2, 17, 34, 289, 578

235 : 1, 5, 47, 235

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,152,578,235,730, is 1.

Now, the common factors can be found like this.

107:107

152:2x 2x 2x 19

578:2x 17x 17

235:5x 47

730:2x 5x 73

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 = 1612671557600/(1x20)

LCM = 1612671557600/20

LCM = 80633577880

Thus, we can understand that the LCM of 107,152,578,235,730 is 80633577880.

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

• LCM of 574, 592, 615, 351, 764
• LCM of 360, 615, 695, 750, 917
• LCM of 493, 200, 407, 815, 885
• LCM of 339, 209, 992, 260, 438
• LCM of 188, 442, 704, 485, 665

1. What is the LCM of 107, 152, 578, 235, 730?

Answer: LCM of 107, 152, 578, 235, 730 is 80633577880.

2. How to calculate the LCM of 107, 152, 578, 235, 730?

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 107, 152, 578, 235, 730.

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}.