Given numbers are 258,156,227,468,516

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

The LCM of 258,156,227,468,516 is 4568148.

Find LCM of 258,156,227,468,516 with Prime Factorization

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

2 x 2 x 3 x 13 x 43 x 1 x 1 x 227 x 3 x 1 = 4568148

Therefore, the lowest common multiple of 258,156,227,468,516 is 4568148.

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.

258 x 156 x 227 x 468 x 516 = 2206305848448

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

227 : 1, 227

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,156,227,468,516, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

156:2x 2x 3x 13

227:227

468:2x 2x 3x 3x 13

516:2x 2x 3x 43

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 2x 2x 2x 3x 3x 3x 13x 43 = 482976

Therefore, the value for common factors is 482976.

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 = 2206305848448/(1x482976)

LCM = 2206305848448/482976

LCM = 4568148

Thus, we can understand that the LCM of 258,156,227,468,516 is 4568148.

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

• LCM of 900, 846, 363, 525, 161
• LCM of 143, 405, 556, 494, 484
• LCM of 780, 406, 284, 581, 895
• LCM of 405, 338, 118, 734, 793
• LCM of 187, 403, 851, 661, 176

1. What is the LCM of 258, 156, 227, 468, 516?

Answer: LCM of 258, 156, 227, 468, 516 is 4568148.

2. How to calculate the LCM of 258, 156, 227, 468, 516?

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 258, 156, 227, 468, 516.

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}.