Given numbers are 313,220,251,468

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

The LCM of 313,220,251,468 is 2022211620.

Find LCM of 313,220,251,468 with Prime Factorization

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

2 x 2 x 313 x 55 x 251 x 117 = 2022211620

Therefore, the lowest common multiple of 313,220,251,468 is 2022211620.

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.

313 x 220 x 251 x 468 = 8088846480

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.

313 : 1, 313

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

251 : 1, 251

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,220,251,468, is 1.

Now, the common factors can be found like this.

313:313

220:2x 2x 5x 11

251:251

468:2x 2x 3x 3x 13

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 = 8088846480/(1x4)

LCM = 8088846480/4

LCM = 2022211620

Thus, we can understand that the LCM of 313,220,251,468 is 2022211620.

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

• LCM of 350, 836, 538, 758
• LCM of 890, 864, 239, 601
• LCM of 876, 658, 695, 400
• LCM of 434, 224, 470, 961
• LCM of 845, 684, 366, 150

1. What is the LCM of 313, 220, 251, 468?

Answer: LCM of 313, 220, 251, 468 is 2022211620.

2. How to calculate the LCM of 313, 220, 251, 468?

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 313, 220, 251, 468.

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}.