Given numbers are 361,973,715,614,720

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

The LCM of 361,973,715,614,720 is 11102657726160.

Find LCM of 361,973,715,614,720 with Prime Factorization

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

2 x 5 x 361 x 973 x 143 x 307 x 72 = 11102657726160

Therefore, the lowest common multiple of 361,973,715,614,720 is 11102657726160.

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.

361 x 973 x 715 x 614 x 720 = 111026577261600

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.

361 : 1, 19, 361

973 : 1, 7, 139, 973

715 : 1, 5, 11, 13, 55, 65, 143, 715

614 : 1, 2, 307, 614

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 361,973,715,614,720, is 1.

Now, the common factors can be found like this.

361:19x 19

973:7x 139

715:5x 11x 13

614:2x 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 5 = 10

Therefore, the value for common factors is 10.

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 = 111026577261600/(1x10)

LCM = 111026577261600/10

LCM = 11102657726160

Thus, we can understand that the LCM of 361,973,715,614,720 is 11102657726160.

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

• LCM of 983, 213, 613, 199, 433
• LCM of 501, 181, 214, 371, 643
• LCM of 248, 646, 478, 884, 321
• LCM of 428, 940, 950, 295, 971
• LCM of 891, 414, 755, 607, 205

1. What is the LCM of 361, 973, 715, 614, 720?

Answer: LCM of 361, 973, 715, 614, 720 is 11102657726160.

2. How to calculate the LCM of 361, 973, 715, 614, 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 361, 973, 715, 614, 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}.