Given numbers are 772,580,902,420,828

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

The LCM of 772,580,902,420,828 is 73152678060.

Find LCM of 772,580,902,420,828 with Prime Factorization

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

2 x 2 x 3 x 5 x 193 x 29 x 451 x 7 x 69 = 73152678060

Therefore, the lowest common multiple of 772,580,902,420,828 is 73152678060.

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.

772 x 580 x 902 x 420 x 828 = 140453141875200

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.

772 : 1, 2, 4, 193, 386, 772

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

902 : 1, 2, 11, 22, 41, 82, 451, 902

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

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,580,902,420,828, is 2.

Now, the common factors can be found like this.

772:2x 2x 193

580:2x 2x 5x 29

902:2x 11x 41

420:2x 2x 3x 5x 7

828:2x 2x 3x 3x 23

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 = 140453141875200/(2x960)

LCM = 140453141875200/1920

LCM = 73152678060

Thus, we can understand that the LCM of 772,580,902,420,828 is 73152678060.

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

• LCM of 498, 723, 471, 293, 131
• LCM of 545, 637, 505, 763, 332
• LCM of 500, 743, 955, 701, 452
• LCM of 106, 145, 660, 217, 253
• LCM of 345, 940, 347, 578, 650

1. What is the LCM of 772, 580, 902, 420, 828?

Answer: LCM of 772, 580, 902, 420, 828 is 73152678060.

2. How to calculate the LCM of 772, 580, 902, 420, 828?

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 772, 580, 902, 420, 828.

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}.