Given numbers are 713,624,610,352

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

The LCM of 713,624,610,352 is 2985359520.

Find LCM of 713,624,610,352 with Prime Factorization

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

2 x 2 x 2 x 2 x 713 x 39 x 305 x 22 = 2985359520

Therefore, the lowest common multiple of 713,624,610,352 is 2985359520.

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.

713 x 624 x 610 x 352 = 95531504640

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.

713 : 1, 23, 31, 713

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

610 : 1, 2, 5, 10, 61, 122, 305, 610

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,624,610,352, is 1.

Now, the common factors can be found like this.

713:23x 31

624:2x 2x 2x 2x 3x 13

610:2x 5x 61

352:2x 2x 2x 2x 2x 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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 95531504640/(1x32)

LCM = 95531504640/32

LCM = 2985359520

Thus, we can understand that the LCM of 713,624,610,352 is 2985359520.

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

• LCM of 915, 851, 960, 638
• LCM of 108, 787, 877, 297
• LCM of 677, 738, 454, 474
• LCM of 296, 957, 380, 964
• LCM of 420, 681, 666, 742

1. What is the LCM of 713, 624, 610, 352?

Answer: LCM of 713, 624, 610, 352 is 2985359520.

2. How to calculate the LCM of 713, 624, 610, 352?

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 713, 624, 610, 352.

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}.