Given numbers are 546,536,408,495,572

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

The LCM of 546,536,408,495,572 is 410450040.

Find LCM of 546,536,408,495,572 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 13 x 7 x 67 x 17 x 15 x 1 = 410450040

Therefore, the lowest common multiple of 546,536,408,495,572 is 410450040.

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.

546 x 536 x 408 x 495 x 572 = 33807948894720

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

536 : 1, 2, 4, 8, 67, 134, 268, 536

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,536,408,495,572, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

536:2x 2x 2x 67

408:2x 2x 2x 3x 17

495:3x 3x 5x 11

572:2x 2x 11x 13

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 2x 3x 3x 11x 13 = 82368

Therefore, the value for common factors is 82368.

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 = 33807948894720/(1x82368)

LCM = 33807948894720/82368

LCM = 410450040

Thus, we can understand that the LCM of 546,536,408,495,572 is 410450040.

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

• LCM of 616, 778, 388, 352, 553
• LCM of 178, 115, 814, 667, 828
• LCM of 296, 772, 197, 831, 951
• LCM of 138, 892, 255, 469, 555
• LCM of 948, 725, 632, 835, 870

1. What is the LCM of 546, 536, 408, 495, 572?

Answer: LCM of 546, 536, 408, 495, 572 is 410450040.

2. How to calculate the LCM of 546, 536, 408, 495, 572?

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 546, 536, 408, 495, 572.

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}.