Given numbers are 145,352,957,291,900

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

The LCM of 145,352,957,291,900 is 222789600.

Find LCM of 145,352,957,291,900 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 29 x 1 x 8 x 1 x 97 x 15 = 222789600

Therefore, the lowest common multiple of 145,352,957,291,900 is 222789600.

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.

145 x 352 x 957 x 291 x 900 = 12792578832000

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.

145 : 1, 5, 29, 145

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

957 : 1, 3, 11, 29, 33, 87, 319, 957

291 : 1, 3, 97, 291

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,352,957,291,900, is 1.

Now, the common factors can be found like this.

145:5x 29

352:2x 2x 2x 2x 2x 11

957:3x 11x 29

291:3x 97

900:2x 2x 3x 3x 5x 5

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 3x 3x 5x 11x 29 = 57420

Therefore, the value for common factors is 57420.

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 = 12792578832000/(1x57420)

LCM = 12792578832000/57420

LCM = 222789600

Thus, we can understand that the LCM of 145,352,957,291,900 is 222789600.

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

• LCM of 309, 845, 145, 165, 832
• LCM of 624, 864, 978, 172, 467
• LCM of 268, 806, 147, 558, 535
• LCM of 165, 638, 932, 706, 262
• LCM of 304, 756, 250, 878, 876

1. What is the LCM of 145, 352, 957, 291, 900?

Answer: LCM of 145, 352, 957, 291, 900 is 222789600.

2. How to calculate the LCM of 145, 352, 957, 291, 900?

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 145, 352, 957, 291, 900.

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}.