Given numbers are 752,220,742,821

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

The LCM of 752,220,742,821 is 12597883760.

Find LCM of 752,220,742,821 with Prime Factorization

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

2 x 2 x 188 x 55 x 371 x 821 = 12597883760

Therefore, the lowest common multiple of 752,220,742,821 is 12597883760.

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.

752 x 220 x 742 x 821 = 100783070080

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.

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

742 : 1, 2, 7, 14, 53, 106, 371, 742

821 : 1, 821

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,220,742,821, is 1.

Now, the common factors can be found like this.

752:2x 2x 2x 2x 47

220:2x 2x 5x 11

742:2x 7x 53

821:821

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 2 = 8

Therefore, the value for common factors is 8.

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 = 100783070080/(1x8)

LCM = 100783070080/8

LCM = 12597883760

Thus, we can understand that the LCM of 752,220,742,821 is 12597883760.

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

• LCM of 914, 247, 692, 957
• LCM of 649, 860, 637, 792
• LCM of 502, 412, 354, 730
• LCM of 624, 239, 898, 395
• LCM of 333, 378, 976, 382

1. What is the LCM of 752, 220, 742, 821?

Answer: LCM of 752, 220, 742, 821 is 12597883760.

2. How to calculate the LCM of 752, 220, 742, 821?

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 752, 220, 742, 821.

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}.