Given numbers are 390,582,521,121,720

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

The LCM of 390,582,521,121,720 is 57236184720.

Find LCM of 390,582,521,121,720 with Prime Factorization

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

2 x 3 x 5 x 13 x 97 x 521 x 121 x 24 = 57236184720

Therefore, the lowest common multiple of 390,582,521,121,720 is 57236184720.

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.

390 x 582 x 521 x 121 x 720 = 10302513249600

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

582 : 1, 2, 3, 6, 97, 194, 291, 582

521 : 1, 521

121 : 1, 11, 121

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 390,582,521,121,720, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

582:2x 3x 97

521:521

121:11x 11

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 10302513249600/(1x180)

LCM = 10302513249600/180

LCM = 57236184720

Thus, we can understand that the LCM of 390,582,521,121,720 is 57236184720.

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

• LCM of 191, 777, 620, 172, 115
• LCM of 978, 830, 109, 918, 854
• LCM of 525, 973, 308, 414, 285
• LCM of 859, 752, 845, 524, 907
• LCM of 807, 750, 937, 224, 833

1. What is the LCM of 390, 582, 521, 121, 720?

Answer: LCM of 390, 582, 521, 121, 720 is 57236184720.

2. How to calculate the LCM of 390, 582, 521, 121, 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 390, 582, 521, 121, 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}.