Given numbers are 538,420,775,936,776

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

The LCM of 538,420,775,936,776 is 132495035400.

Find LCM of 538,420,775,936,776 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 269 x 7 x 155 x 39 x 97 = 132495035400

Therefore, the lowest common multiple of 538,420,775,936,776 is 132495035400.

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 420 x 775 x 936 x 776 = 127195233984000

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

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

775 : 1, 5, 25, 31, 155, 775

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,420,775,936,776, is 1.

Now, the common factors can be found like this.

538:2x 269

420:2x 2x 3x 5x 7

775:5x 5x 31

936:2x 2x 2x 3x 3x 13

776:2x 2x 2x 97

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 5 = 960

Therefore, the value for common factors is 960.

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 = 127195233984000/(1x960)

LCM = 127195233984000/960

LCM = 132495035400

Thus, we can understand that the LCM of 538,420,775,936,776 is 132495035400.

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

• LCM of 664, 638, 950, 909, 435
• LCM of 758, 144, 294, 625, 341
• LCM of 638, 417, 558, 196, 509
• LCM of 501, 628, 960, 163, 874
• LCM of 175, 284, 443, 327, 460

1. What is the LCM of 538, 420, 775, 936, 776?

Answer: LCM of 538, 420, 775, 936, 776 is 132495035400.

2. How to calculate the LCM of 538, 420, 775, 936, 776?

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, 420, 775, 936, 776.

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}.