Given numbers are 350,564,221,452,160

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

The LCM of 350,564,221,452,160 is 19718680800.

Find LCM of 350,564,221,452,160 with Prime Factorization

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

2 x 2 x 5 x 35 x 141 x 221 x 113 x 8 = 19718680800

Therefore, the lowest common multiple of 350,564,221,452,160 is 19718680800.

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 564 x 221 x 452 x 160 = 3154988928000

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

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

221 : 1, 13, 17, 221

452 : 1, 2, 4, 113, 226, 452

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,564,221,452,160, is 1.

Now, the common factors can be found like this.

350:2x 5x 5x 7

564:2x 2x 3x 47

221:13x 17

452:2x 2x 113

160:2x 2x 2x 2x 2x 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 5 = 160

Therefore, the value for common factors is 160.

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 = 3154988928000/(1x160)

LCM = 3154988928000/160

LCM = 19718680800

Thus, we can understand that the LCM of 350,564,221,452,160 is 19718680800.

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

• LCM of 801, 736, 444, 903, 908
• LCM of 871, 557, 964, 264, 319
• LCM of 559, 435, 619, 741, 813
• LCM of 866, 207, 902, 300, 690
• LCM of 170, 541, 846, 247, 520

1. What is the LCM of 350, 564, 221, 452, 160?

Answer: LCM of 350, 564, 221, 452, 160 is 19718680800.

2. How to calculate the LCM of 350, 564, 221, 452, 160?

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, 564, 221, 452, 160.

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}.