Given numbers are 402,644,828,396,753

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

The LCM of 402,644,828,396,753 is 1072184652.

Find LCM of 402,644,828,396,753 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 67 x 7 x 1 x 11 x 251 = 1072184652

Therefore, the lowest common multiple of 402,644,828,396,753 is 1072184652.

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.

402 x 644 x 828 x 396 x 753 = 63919360213632

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,644,828,396,753, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

644:2x 2x 7x 23

828:2x 2x 3x 3x 23

396:2x 2x 3x 3x 11

753:3x 251

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 3x 3x 3x 3x 23 = 59616

Therefore, the value for common factors is 59616.

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 = 63919360213632/(1x59616)

LCM = 63919360213632/59616

LCM = 1072184652

Thus, we can understand that the LCM of 402,644,828,396,753 is 1072184652.

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

• LCM of 885, 452, 540, 479, 942
• LCM of 520, 981, 874, 615, 751
• LCM of 410, 816, 627, 828, 607
• LCM of 231, 882, 431, 107, 764
• LCM of 497, 931, 979, 889, 234

1. What is the LCM of 402, 644, 828, 396, 753?

Answer: LCM of 402, 644, 828, 396, 753 is 1072184652.

2. How to calculate the LCM of 402, 644, 828, 396, 753?

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 402, 644, 828, 396, 753.

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}.