Given numbers are 538,776,624,420,747

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

The LCM of 538,776,624,420,747 is 141897908880.

Find LCM of 538,776,624,420,747 with Prime Factorization

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

2 x 2 x 2 x 3 x 269 x 97 x 26 x 35 x 249 = 141897908880

Therefore, the lowest common multiple of 538,776,624,420,747 is 141897908880.

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.

538 x 776 x 624 x 420 x 747 = 81733195514880

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.

538 : 1, 2, 269, 538

776 : 1, 2, 4, 8, 97, 194, 388, 776

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

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

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,776,624,420,747, is 1.

Now, the common factors can be found like this.

538:2x 269

776:2x 2x 2x 97

624:2x 2x 2x 2x 3x 13

420:2x 2x 3x 5x 7

747:3x 3x 83

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 3 = 576

Therefore, the value for common factors is 576.

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 = 81733195514880/(1x576)

LCM = 81733195514880/576

LCM = 141897908880

Thus, we can understand that the LCM of 538,776,624,420,747 is 141897908880.

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

• LCM of 658, 682, 553, 589, 606
• LCM of 749, 227, 415, 286, 648
• LCM of 352, 645, 978, 296, 486
• LCM of 999, 757, 828, 993, 881
• LCM of 470, 529, 681, 385, 620

1. What is the LCM of 538, 776, 624, 420, 747?

Answer: LCM of 538, 776, 624, 420, 747 is 141897908880.

2. How to calculate the LCM of 538, 776, 624, 420, 747?

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 538, 776, 624, 420, 747.

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}.