Given numbers are 441,508,438,812,720

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

The LCM of 441,508,438,812,720 is 9485345520.

Find LCM of 441,508,438,812,720 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 7 x 127 x 73 x 29 x 20 = 9485345520

Therefore, the lowest common multiple of 441,508,438,812,720 is 9485345520.

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.

441 x 508 x 438 x 812 x 720 = 57367369704960

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.

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

508 : 1, 2, 4, 127, 254, 508

438 : 1, 2, 3, 6, 73, 146, 219, 438

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,508,438,812,720, is 1.

Now, the common factors can be found like this.

441:3x 3x 7x 7

508:2x 2x 127

438:2x 3x 73

812:2x 2x 7x 29

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

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 3x 3x 3x 7 = 6048

Therefore, the value for common factors is 6048.

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 = 57367369704960/(1x6048)

LCM = 57367369704960/6048

LCM = 9485345520

Thus, we can understand that the LCM of 441,508,438,812,720 is 9485345520.

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

• LCM of 425, 860, 741, 639, 557
• LCM of 675, 482, 923, 427, 865
• LCM of 908, 324, 125, 649, 353
• LCM of 791, 611, 490, 615, 984
• LCM of 889, 948, 522, 248, 204

1. What is the LCM of 441, 508, 438, 812, 720?

Answer: LCM of 441, 508, 438, 812, 720 is 9485345520.

2. How to calculate the LCM of 441, 508, 438, 812, 720?

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 441, 508, 438, 812, 720.

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}.