Given numbers are 644,518,409,614

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

The LCM of 644,518,409,614 is 2991915164.

Find LCM of 644,518,409,614 with Prime Factorization

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

2 x 7 x 46 x 37 x 409 x 307 = 2991915164

Therefore, the lowest common multiple of 644,518,409,614 is 2991915164.

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.

644 x 518 x 409 x 614 = 83773624592

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.

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

518 : 1, 2, 7, 14, 37, 74, 259, 518

409 : 1, 409

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,518,409,614, is 1.

Now, the common factors can be found like this.

644:2x 2x 7x 23

518:2x 7x 37

409:409

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 2x 7 = 28

Therefore, the value for common factors is 28.

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 = 83773624592/(1x28)

LCM = 83773624592/28

LCM = 2991915164

Thus, we can understand that the LCM of 644,518,409,614 is 2991915164.

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

• LCM of 603, 885, 887, 691
• LCM of 709, 652, 341, 858
• LCM of 650, 104, 506, 182
• LCM of 988, 594, 960, 778
• LCM of 788, 384, 290, 461

1. What is the LCM of 644, 518, 409, 614?

Answer: LCM of 644, 518, 409, 614 is 2991915164.

2. How to calculate the LCM of 644, 518, 409, 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 644, 518, 409, 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}.