Given numbers are 725,360,507,952,920

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

The LCM of 725,360,507,952,920 is 24145266600.

Find LCM of 725,360,507,952,920 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 145 x 3 x 169 x 119 x 23 = 24145266600

Therefore, the lowest common multiple of 725,360,507,952,920 is 24145266600.

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.

725 x 360 x 507 x 952 x 920 = 115897279680000

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.

725 : 1, 5, 25, 29, 145, 725

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

507 : 1, 3, 13, 39, 169, 507

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,360,507,952,920, is 1.

Now, the common factors can be found like this.

725:5x 5x 29

360:2x 2x 2x 3x 3x 5

507:3x 13x 13

952:2x 2x 2x 7x 17

920:2x 2x 2x 5x 23

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 2x 2x 3x 5x 5 = 4800

Therefore, the value for common factors is 4800.

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 = 115897279680000/(1x4800)

LCM = 115897279680000/4800

LCM = 24145266600

Thus, we can understand that the LCM of 725,360,507,952,920 is 24145266600.

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

• LCM of 424, 299, 883, 220, 190
• LCM of 998, 911, 786, 713, 748
• LCM of 631, 545, 117, 370, 887
• LCM of 298, 464, 340, 776, 185
• LCM of 754, 714, 314, 600, 238

1. What is the LCM of 725, 360, 507, 952, 920?

Answer: LCM of 725, 360, 507, 952, 920 is 24145266600.

2. How to calculate the LCM of 725, 360, 507, 952, 920?

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 725, 360, 507, 952, 920.

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}.