Given numbers are 402,435,708,727,810

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

The LCM of 402,435,708,727,810 is 135012580380.

Find LCM of 402,435,708,727,810 with Prime Factorization

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

2 x 3 x 5 x 67 x 29 x 118 x 727 x 27 = 135012580380

Therefore, the lowest common multiple of 402,435,708,727,810 is 135012580380.

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 435 x 708 x 727 x 810 = 72906793405200

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

435 : 1, 3, 5, 15, 29, 87, 145, 435

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

727 : 1, 727

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,435,708,727,810, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

435:3x 5x 29

708:2x 2x 3x 59

727:727

810:2x 3x 3x 3x 3x 5

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 3x 3x 3x 5 = 540

Therefore, the value for common factors is 540.

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 = 72906793405200/(1x540)

LCM = 72906793405200/540

LCM = 135012580380

Thus, we can understand that the LCM of 402,435,708,727,810 is 135012580380.

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

• LCM of 849, 334, 591, 902, 364
• LCM of 152, 589, 725, 131, 658
• LCM of 740, 454, 449, 509, 589
• LCM of 286, 589, 173, 828, 738
• LCM of 363, 412, 164, 351, 103

1. What is the LCM of 402, 435, 708, 727, 810?

Answer: LCM of 402, 435, 708, 727, 810 is 135012580380.

2. How to calculate the LCM of 402, 435, 708, 727, 810?

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, 435, 708, 727, 810.

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}.