Given numbers are 314,410,379,444

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

The LCM of 314,410,379,444 is 5415963060.

Find LCM of 314,410,379,444 with Prime Factorization

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

2 x 157 x 205 x 379 x 222 = 5415963060

Therefore, the lowest common multiple of 314,410,379,444 is 5415963060.

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.

314 x 410 x 379 x 444 = 21663852240

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.

314 : 1, 2, 157, 314

410 : 1, 2, 5, 10, 41, 82, 205, 410

379 : 1, 379

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,410,379,444, is 1.

Now, the common factors can be found like this.

314:2x 157

410:2x 5x 41

379:379

444:2x 2x 3x 37

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 = 21663852240/(1x4)

LCM = 21663852240/4

LCM = 5415963060

Thus, we can understand that the LCM of 314,410,379,444 is 5415963060.

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

• LCM of 771, 823, 998, 307
• LCM of 254, 264, 620, 398
• LCM of 354, 300, 159, 872
• LCM of 417, 916, 521, 219
• LCM of 799, 155, 570, 443

1. What is the LCM of 314, 410, 379, 444?

Answer: LCM of 314, 410, 379, 444 is 5415963060.

2. How to calculate the LCM of 314, 410, 379, 444?

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 314, 410, 379, 444.

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}.