Given numbers are 314,122,372,582

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

The LCM of 314,122,372,582 is 345576468.

Find LCM of 314,122,372,582 with Prime Factorization

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

2 x 3 x 157 x 61 x 62 x 97 = 345576468

Therefore, the lowest common multiple of 314,122,372,582 is 345576468.

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 122 x 372 x 582 = 8293835232

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

122 : 1, 2, 61, 122

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

582 : 1, 2, 3, 6, 97, 194, 291, 582

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,122,372,582, is 2.

Now, the common factors can be found like this.

314:2x 157

122:2x 61

372:2x 2x 3x 31

582:2x 3x 97

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 3 = 12

Therefore, the value for common factors is 12.

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 = 8293835232/(2x12)

LCM = 8293835232/24

LCM = 345576468

Thus, we can understand that the LCM of 314,122,372,582 is 345576468.

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

• LCM of 195, 682, 730, 424
• LCM of 521, 504, 382, 484
• LCM of 301, 587, 351, 761
• LCM of 496, 899, 940, 562
• LCM of 566, 406, 302, 673

1. What is the LCM of 314, 122, 372, 582?

Answer: LCM of 314, 122, 372, 582 is 345576468.

2. How to calculate the LCM of 314, 122, 372, 582?

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, 122, 372, 582.

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}.