Given numbers are 420,774,828,507,543

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

The LCM of 420,774,828,507,543 is 38118176460.

Find LCM of 420,774,828,507,543 with Prime Factorization

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

2 x 2 x 3 x 3 x 35 x 43 x 23 x 169 x 181 = 38118176460

Therefore, the lowest common multiple of 420,774,828,507,543 is 38118176460.

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 774 x 828 x 507 x 543 = 74101735038240

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

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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

543 : 1, 3, 181, 543

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,774,828,507,543, is 3.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

774:2x 3x 3x 43

828:2x 2x 3x 3x 23

507:3x 13x 13

543:3x 181

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 3x 3x 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 74101735038240/(3x648)

LCM = 74101735038240/1944

LCM = 38118176460

Thus, we can understand that the LCM of 420,774,828,507,543 is 38118176460.

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

• LCM of 378, 916, 422, 908, 748
• LCM of 986, 298, 833, 653, 717
• LCM of 781, 379, 216, 323, 180
• LCM of 366, 459, 965, 379, 188
• LCM of 614, 925, 380, 143, 780

1. What is the LCM of 420, 774, 828, 507, 543?

Answer: LCM of 420, 774, 828, 507, 543 is 38118176460.

2. How to calculate the LCM of 420, 774, 828, 507, 543?

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, 774, 828, 507, 543.

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}.