Given numbers are 514,215,564,614

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

The LCM of 514,215,564,614 is 9567292740.

Find LCM of 514,215,564,614 with Prime Factorization

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

2 x 257 x 215 x 282 x 307 = 9567292740

Therefore, the lowest common multiple of 514,215,564,614 is 9567292740.

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.

514 x 215 x 564 x 614 = 38269170960

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.

514 : 1, 2, 257, 514

215 : 1, 5, 43, 215

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

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,215,564,614, is 1.

Now, the common factors can be found like this.

514:2x 257

215:5x 43

564:2x 2x 3x 47

614:2x 307

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 = 38269170960/(1x4)

LCM = 38269170960/4

LCM = 9567292740

Thus, we can understand that the LCM of 514,215,564,614 is 9567292740.

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

• LCM of 284, 524, 965, 896
• LCM of 170, 430, 688, 474
• LCM of 761, 809, 714, 439
• LCM of 221, 796, 175, 797
• LCM of 940, 618, 872, 377

1. What is the LCM of 514, 215, 564, 614?

Answer: LCM of 514, 215, 564, 614 is 9567292740.

2. How to calculate the LCM of 514, 215, 564, 614?

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 514, 215, 564, 614.

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}.