Given numbers are 551,564,170,314

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

The LCM of 551,564,170,314 is 4147145580.

Find LCM of 551,564,170,314 with Prime Factorization

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

2 x 551 x 282 x 85 x 157 = 4147145580

Therefore, the lowest common multiple of 551,564,170,314 is 4147145580.

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.

551 x 564 x 170 x 314 = 16588582320

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.

551 : 1, 19, 29, 551

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

170 : 1, 2, 5, 10, 17, 34, 85, 170

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,564,170,314, is 1.

Now, the common factors can be found like this.

551:19x 29

564:2x 2x 3x 47

170:2x 5x 17

314:2x 157

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 16588582320/(1x4)

LCM = 16588582320/4

LCM = 4147145580

Thus, we can understand that the LCM of 551,564,170,314 is 4147145580.

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

• LCM of 502, 474, 136, 209
• LCM of 492, 645, 389, 193
• LCM of 493, 592, 549, 703
• LCM of 235, 801, 270, 219
• LCM of 456, 722, 657, 914

1. What is the LCM of 551, 564, 170, 314?

Answer: LCM of 551, 564, 170, 314 is 4147145580.

2. How to calculate the LCM of 551, 564, 170, 314?

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 551, 564, 170, 314.

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}.