Given numbers are 393,293,770,720,402

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

The LCM of 393,293,770,720,402 is 142572885840.

Find LCM of 393,293,770,720,402 with Prime Factorization

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

2 x 3 x 5 x 131 x 293 x 77 x 24 x 67 = 142572885840

Therefore, the lowest common multiple of 393,293,770,720,402 is 142572885840.

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.

393 x 293 x 770 x 720 x 402 = 25663119451200

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.

393 : 1, 3, 131, 393

293 : 1, 293

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,293,770,720,402, is 1.

Now, the common factors can be found like this.

393:3x 131

293:293

770:2x 5x 7x 11

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

402:2x 3x 67

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 5 = 180

Therefore, the value for common factors is 180.

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 = 25663119451200/(1x180)

LCM = 25663119451200/180

LCM = 142572885840

Thus, we can understand that the LCM of 393,293,770,720,402 is 142572885840.

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

• LCM of 441, 775, 878, 726, 916
• LCM of 417, 534, 729, 924, 654
• LCM of 769, 301, 592, 359, 732
• LCM of 955, 328, 752, 424, 815
• LCM of 978, 569, 299, 840, 134

1. What is the LCM of 393, 293, 770, 720, 402?

Answer: LCM of 393, 293, 770, 720, 402 is 142572885840.

2. How to calculate the LCM of 393, 293, 770, 720, 402?

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 393, 293, 770, 720, 402.

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}.