Given numbers are 402,608,672,242,719

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

The LCM of 402,608,672,242,719 is 74423816544.

Find LCM of 402,608,672,242,719 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 67 x 19 x 7 x 121 x 719 = 74423816544

Therefore, the lowest common multiple of 402,608,672,242,719 is 74423816544.

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 608 x 672 x 242 x 719 = 28578745552896

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

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

242 : 1, 2, 11, 22, 121, 242

719 : 1, 719

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,608,672,242,719, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

608:2x 2x 2x 2x 2x 19

672:2x 2x 2x 2x 2x 3x 7

242:2x 11x 11

719:719

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 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 28578745552896/(1x384)

LCM = 28578745552896/384

LCM = 74423816544

Thus, we can understand that the LCM of 402,608,672,242,719 is 74423816544.

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

• LCM of 675, 901, 499, 493, 347
• LCM of 892, 273, 420, 453, 217
• LCM of 555, 567, 867, 170, 733
• LCM of 687, 356, 755, 496, 197
• LCM of 678, 617, 707, 500, 522

1. What is the LCM of 402, 608, 672, 242, 719?

Answer: LCM of 402, 608, 672, 242, 719 is 74423816544.

2. How to calculate the LCM of 402, 608, 672, 242, 719?

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, 608, 672, 242, 719.

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}.