Given numbers are 414,647,602,660

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

The LCM of 414,647,602,660 is 8868778380.

Find LCM of 414,647,602,660 with Prime Factorization

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

2 x 3 x 69 x 647 x 301 x 110 = 8868778380

Therefore, the lowest common multiple of 414,647,602,660 is 8868778380.

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.

414 x 647 x 602 x 660 = 106425340560

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

647 : 1, 647

602 : 1, 2, 7, 14, 43, 86, 301, 602

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,647,602,660, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

647:647

602:2x 7x 43

660:2x 2x 3x 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 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 106425340560/(1x12)

LCM = 106425340560/12

LCM = 8868778380

Thus, we can understand that the LCM of 414,647,602,660 is 8868778380.

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

• LCM of 857, 502, 410, 884
• LCM of 504, 231, 815, 654
• LCM of 722, 776, 356, 739
• LCM of 564, 249, 869, 331
• LCM of 152, 502, 751, 402

1. What is the LCM of 414, 647, 602, 660?

Answer: LCM of 414, 647, 602, 660 is 8868778380.

2. How to calculate the LCM of 414, 647, 602, 660?

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 414, 647, 602, 660.

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}.