Given numbers are 413,210,661,560,442

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

The LCM of 413,210,661,560,442 is 14479548720.

Find LCM of 413,210,661,560,442 with Prime Factorization

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

2 x 5 x 7 x 59 x 3 x 661 x 8 x 221 = 14479548720

Therefore, the lowest common multiple of 413,210,661,560,442 is 14479548720.

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.

413 x 210 x 661 x 560 x 442 = 14189957745600

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.

413 : 1, 7, 59, 413

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

661 : 1, 661

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,210,661,560,442, is 1.

Now, the common factors can be found like this.

413:7x 59

210:2x 3x 5x 7

661:661

560:2x 2x 2x 2x 5x 7

442:2x 13x 17

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 5x 7x 7 = 980

Therefore, the value for common factors is 980.

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 = 14189957745600/(1x980)

LCM = 14189957745600/980

LCM = 14479548720

Thus, we can understand that the LCM of 413,210,661,560,442 is 14479548720.

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

• LCM of 728, 689, 673, 930, 881
• LCM of 866, 696, 700, 194, 300
• LCM of 257, 312, 128, 401, 979
• LCM of 641, 396, 741, 442, 356
• LCM of 338, 600, 498, 384, 425

1. What is the LCM of 413, 210, 661, 560, 442?

Answer: LCM of 413, 210, 661, 560, 442 is 14479548720.

2. How to calculate the LCM of 413, 210, 661, 560, 442?

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 413, 210, 661, 560, 442.

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}.