Given numbers are 420,507,561,819,973

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

The LCM of 420,507,561,819,973 is 5534949420.

Find LCM of 420,507,561,819,973 with Prime Factorization

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

3 x 7 x 13 x 20 x 13 x 187 x 3 x 139 = 5534949420

Therefore, the lowest common multiple of 420,507,561,819,973 is 5534949420.

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.

420 x 507 x 561 x 819 x 973 = 95195595074580

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

507 : 1, 3, 13, 39, 169, 507

561 : 1, 3, 11, 17, 33, 51, 187, 561

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

973 : 1, 7, 139, 973

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,507,561,819,973, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

507:3x 13x 13

561:3x 11x 17

819:3x 3x 7x 13

973:7x 139

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 7x 7x 13 = 17199

Therefore, the value for common factors is 17199.

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 = 95195595074580/(1x17199)

LCM = 95195595074580/17199

LCM = 5534949420

Thus, we can understand that the LCM of 420,507,561,819,973 is 5534949420.

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

• LCM of 268, 715, 356, 941, 329
• LCM of 197, 374, 332, 388, 480
• LCM of 594, 649, 703, 170, 513
• LCM of 486, 636, 610, 657, 416
• LCM of 743, 724, 188, 774, 227

1. What is the LCM of 420, 507, 561, 819, 973?

Answer: LCM of 420, 507, 561, 819, 973 is 5534949420.

2. How to calculate the LCM of 420, 507, 561, 819, 973?

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 420, 507, 561, 819, 973.

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}.