Given numbers are 874,171,643,532,616

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

The LCM of 874,171,643,532,616 is 1557814104.

Find LCM of 874,171,643,532,616 with Prime Factorization

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

2 x 2 x 7 x 19 x 23 x 9 x 643 x 1 x 22 = 1557814104

Therefore, the lowest common multiple of 874,171,643,532,616 is 1557814104.

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.

874 x 171 x 643 x 532 x 616 = 31492769926464

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.

874 : 1, 2, 19, 23, 38, 46, 437, 874

171 : 1, 3, 9, 19, 57, 171

643 : 1, 643

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,171,643,532,616, is 1.

Now, the common factors can be found like this.

874:2x 19x 23

171:3x 3x 19

643:643

532:2x 2x 7x 19

616:2x 2x 2x 7x 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 2x 7x 19x 19 = 20216

Therefore, the value for common factors is 20216.

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 = 31492769926464/(1x20216)

LCM = 31492769926464/20216

LCM = 1557814104

Thus, we can understand that the LCM of 874,171,643,532,616 is 1557814104.

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

• LCM of 875, 568, 878, 629, 318
• LCM of 193, 744, 226, 754, 847
• LCM of 417, 369, 659, 583, 598
• LCM of 460, 158, 614, 714, 513
• LCM of 719, 364, 368, 433, 790

1. What is the LCM of 874, 171, 643, 532, 616?

Answer: LCM of 874, 171, 643, 532, 616 is 1557814104.

2. How to calculate the LCM of 874, 171, 643, 532, 616?

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 874, 171, 643, 532, 616.

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}.