Given numbers are 505,842,716,314

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

The LCM of 505,842,716,314 is 23899353260.

Find LCM of 505,842,716,314 with Prime Factorization

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

2 x 505 x 421 x 358 x 157 = 23899353260

Therefore, the lowest common multiple of 505,842,716,314 is 23899353260.

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.

505 x 842 x 716 x 314 = 95597413040

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.

505 : 1, 5, 101, 505

842 : 1, 2, 421, 842

716 : 1, 2, 4, 179, 358, 716

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,842,716,314, is 1.

Now, the common factors can be found like this.

505:5x 101

842:2x 421

716:2x 2x 179

314:2x 157

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 95597413040/(1x4)

LCM = 95597413040/4

LCM = 23899353260

Thus, we can understand that the LCM of 505,842,716,314 is 23899353260.

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

• LCM of 553, 106, 582, 109
• LCM of 154, 629, 778, 666
• LCM of 341, 112, 889, 145
• LCM of 164, 700, 826, 597
• LCM of 452, 733, 271, 445

1. What is the LCM of 505, 842, 716, 314?

Answer: LCM of 505, 842, 716, 314 is 23899353260.

2. How to calculate the LCM of 505, 842, 716, 314?

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 505, 842, 716, 314.

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}.