Given numbers are 152,314,215,275

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

The LCM of 152,314,215,275 is 282191800.

Find LCM of 152,314,215,275 with Prime Factorization

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

2 x 5 x 76 x 157 x 43 x 55 = 282191800

Therefore, the lowest common multiple of 152,314,215,275 is 282191800.

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.

152 x 314 x 215 x 275 = 2821918000

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.

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

314 : 1, 2, 157, 314

215 : 1, 5, 43, 215

275 : 1, 5, 11, 25, 55, 275

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,314,215,275, is 1.

Now, the common factors can be found like this.

152:2x 2x 2x 19

314:2x 157

215:5x 43

275:5x 5x 11

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 = 2821918000/(1x10)

LCM = 2821918000/10

LCM = 282191800

Thus, we can understand that the LCM of 152,314,215,275 is 282191800.

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

• LCM of 765, 499, 907, 684
• LCM of 306, 134, 924, 917
• LCM of 976, 678, 688, 539
• LCM of 200, 615, 610, 905
• LCM of 650, 181, 196, 575

1. What is the LCM of 152, 314, 215, 275?

Answer: LCM of 152, 314, 215, 275 is 282191800.

2. How to calculate the LCM of 152, 314, 215, 275?

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 152, 314, 215, 275.

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}.