Given numbers are 258,322,524,371

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

The LCM of 258,322,524,371 is 576796668.

Find LCM of 258,322,524,371 with Prime Factorization

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

2 x 7 x 129 x 23 x 262 x 53 = 576796668

Therefore, the lowest common multiple of 258,322,524,371 is 576796668.

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.

258 x 322 x 524 x 371 = 16150306704

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

322 : 1, 2, 7, 14, 23, 46, 161, 322

524 : 1, 2, 4, 131, 262, 524

371 : 1, 7, 53, 371

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,322,524,371, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

322:2x 7x 23

524:2x 2x 131

371:7x 53

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 7 = 28

Therefore, the value for common factors is 28.

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 = 16150306704/(1x28)

LCM = 16150306704/28

LCM = 576796668

Thus, we can understand that the LCM of 258,322,524,371 is 576796668.

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

• LCM of 580, 878, 547, 363
• LCM of 681, 141, 937, 728
• LCM of 662, 246, 791, 368
• LCM of 600, 295, 687, 695
• LCM of 132, 687, 875, 326

1. What is the LCM of 258, 322, 524, 371?

Answer: LCM of 258, 322, 524, 371 is 576796668.

2. How to calculate the LCM of 258, 322, 524, 371?

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 258, 322, 524, 371.

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}.