Given numbers are 759,720,402,468,424

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

The LCM of 759,720,402,468,424 is 8409052080.

Find LCM of 759,720,402,468,424 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 253 x 10 x 67 x 13 x 53 = 8409052080

Therefore, the lowest common multiple of 759,720,402,468,424 is 8409052080.

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.

759 x 720 x 402 x 468 x 424 = 43592525982720

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.

759 : 1, 3, 11, 23, 33, 69, 253, 759

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,720,402,468,424, is 1.

Now, the common factors can be found like this.

759:3x 11x 23

720:2x 2x 2x 2x 3x 3x 5

402:2x 3x 67

468:2x 2x 3x 3x 13

424:2x 2x 2x 53

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 3x 3x 3 = 5184

Therefore, the value for common factors is 5184.

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 = 43592525982720/(1x5184)

LCM = 43592525982720/5184

LCM = 8409052080

Thus, we can understand that the LCM of 759,720,402,468,424 is 8409052080.

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

• LCM of 896, 483, 353, 483, 462
• LCM of 491, 436, 473, 618, 979
• LCM of 191, 188, 992, 771, 970
• LCM of 162, 383, 695, 340, 610
• LCM of 429, 598, 130, 327, 498

1. What is the LCM of 759, 720, 402, 468, 424?

Answer: LCM of 759, 720, 402, 468, 424 is 8409052080.

2. How to calculate the LCM of 759, 720, 402, 468, 424?

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 759, 720, 402, 468, 424.

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}.