Given numbers are 416,752,372,920

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

The LCM of 416,752,372,920 is 209108640.

Find LCM of 416,752,372,920 with Prime Factorization

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

2 x 2 x 2 x 2 x 26 x 47 x 93 x 115 = 209108640

Therefore, the lowest common multiple of 416,752,372,920 is 209108640.

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.

416 x 752 x 372 x 920 = 107063623680

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,752,372,920, is 4.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

752:2x 2x 2x 2x 47

372:2x 2x 3x 31

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 2 = 128

Therefore, the value for common factors is 128.

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 = 107063623680/(4x128)

LCM = 107063623680/512

LCM = 209108640

Thus, we can understand that the LCM of 416,752,372,920 is 209108640.

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

• LCM of 538, 956, 712, 506
• LCM of 269, 566, 771, 661
• LCM of 914, 575, 745, 117
• LCM of 270, 101, 436, 806
• LCM of 628, 353, 752, 885

1. What is the LCM of 416, 752, 372, 920?

Answer: LCM of 416, 752, 372, 920 is 209108640.

2. How to calculate the LCM of 416, 752, 372, 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 416, 752, 372, 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}.