Given numbers are 395,253,319,572

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

The LCM of 395,253,319,572 is 150701980.

Find LCM of 395,253,319,572 with Prime Factorization

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

11 x 395 x 23 x 29 x 52 = 150701980

Therefore, the lowest common multiple of 395,253,319,572 is 150701980.

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.

395 x 253 x 319 x 572 = 18234939580

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.

395 : 1, 5, 79, 395

253 : 1, 11, 23, 253

319 : 1, 11, 29, 319

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,253,319,572, is 1.

Now, the common factors can be found like this.

395:5x 79

253:11x 23

319:11x 29

572:2x 2x 11x 13

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 18234939580/(1x121)

LCM = 18234939580/121

LCM = 150701980

Thus, we can understand that the LCM of 395,253,319,572 is 150701980.

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

• LCM of 677, 104, 556, 333
• LCM of 498, 205, 287, 694
• LCM of 869, 725, 694, 839
• LCM of 675, 462, 405, 310
• LCM of 318, 911, 550, 533

1. What is the LCM of 395, 253, 319, 572?

Answer: LCM of 395, 253, 319, 572 is 150701980.

2. How to calculate the LCM of 395, 253, 319, 572?

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 395, 253, 319, 572.

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}.