Given numbers are 514,725,720,106

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

The LCM of 514,725,720,106 is 1422032400.

Find LCM of 514,725,720,106 with Prime Factorization

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

2 x 5 x 257 x 145 x 72 x 53 = 1422032400

Therefore, the lowest common multiple of 514,725,720,106 is 1422032400.

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.

514 x 725 x 720 x 106 = 28440648000

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.

514 : 1, 2, 257, 514

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

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

106 : 1, 2, 53, 106

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,725,720,106, is 1.

Now, the common factors can be found like this.

514:2x 257

725:5x 5x 29

720:2x 2x 2x 2x 3x 3x 5

106:2x 53

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 5 = 20

Therefore, the value for common factors is 20.

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 = 28440648000/(1x20)

LCM = 28440648000/20

LCM = 1422032400

Thus, we can understand that the LCM of 514,725,720,106 is 1422032400.

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

• LCM of 438, 134, 827, 599
• LCM of 393, 510, 866, 298
• LCM of 424, 136, 139, 541
• LCM of 584, 671, 584, 302
• LCM of 137, 559, 627, 517

1. What is the LCM of 514, 725, 720, 106?

Answer: LCM of 514, 725, 720, 106 is 1422032400.

2. How to calculate the LCM of 514, 725, 720, 106?

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 514, 725, 720, 106.

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}.