Given numbers are 441,326,288,307,720

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

The LCM of 441,326,288,307,720 is 3530892960.

Find LCM of 441,326,288,307,720 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 49 x 163 x 2 x 307 x 5 = 3530892960

Therefore, the lowest common multiple of 441,326,288,307,720 is 3530892960.

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 326 x 288 x 307 x 720 = 9152074552320

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

326 : 1, 2, 163, 326

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

307 : 1, 307

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 441,326,288,307,720, is 1.

Now, the common factors can be found like this.

441:3x 3x 7x 7

326:2x 163

288:2x 2x 2x 2x 2x 3x 3

307:307

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 3 = 2592

Therefore, the value for common factors is 2592.

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 = 9152074552320/(1x2592)

LCM = 9152074552320/2592

LCM = 3530892960

Thus, we can understand that the LCM of 441,326,288,307,720 is 3530892960.

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

• LCM of 646, 544, 816, 507, 649
• LCM of 733, 693, 339, 267, 961
• LCM of 637, 114, 269, 211, 456
• LCM of 467, 531, 230, 230, 970
• LCM of 696, 216, 486, 761, 196

1. What is the LCM of 441, 326, 288, 307, 720?

Answer: LCM of 441, 326, 288, 307, 720 is 3530892960.

2. How to calculate the LCM of 441, 326, 288, 307, 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, 326, 288, 307, 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}.