Given numbers are 350,163,974,242,360

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

The LCM of 350,163,974,242,360 is 121024272600.

Find LCM of 350,163,974,242,360 with Prime Factorization

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

2 x 5 x 35 x 163 x 487 x 121 x 36 = 121024272600

Therefore, the lowest common multiple of 350,163,974,242,360 is 121024272600.

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.

350 x 163 x 974 x 242 x 360 = 4840970904000

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.

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

163 : 1, 163

974 : 1, 2, 487, 974

242 : 1, 2, 11, 22, 121, 242

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,163,974,242,360, is 1.

Now, the common factors can be found like this.

350:2x 5x 5x 7

163:163

974:2x 487

242:2x 11x 11

360:2x 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 5 = 40

Therefore, the value for common factors is 40.

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 = 4840970904000/(1x40)

LCM = 4840970904000/40

LCM = 121024272600

Thus, we can understand that the LCM of 350,163,974,242,360 is 121024272600.

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

• LCM of 948, 958, 765, 682, 312
• LCM of 745, 927, 858, 228, 695
• LCM of 603, 958, 357, 607, 329
• LCM of 732, 241, 534, 666, 724
• LCM of 106, 155, 434, 510, 575

1. What is the LCM of 350, 163, 974, 242, 360?

Answer: LCM of 350, 163, 974, 242, 360 is 121024272600.

2. How to calculate the LCM of 350, 163, 974, 242, 360?

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 350, 163, 974, 242, 360.

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}.