Given numbers are 296,407,361,501

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

The LCM of 296,407,361,501 is 588883416.

Find LCM of 296,407,361,501 with Prime Factorization

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

37 x 8 x 11 x 361 x 501 = 588883416

Therefore, the lowest common multiple of 296,407,361,501 is 588883416.

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.

296 x 407 x 361 x 501 = 21788686392

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.

296 : 1, 2, 4, 8, 37, 74, 148, 296

407 : 1, 11, 37, 407

361 : 1, 19, 361

501 : 1, 3, 167, 501

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,407,361,501, is 1.

Now, the common factors can be found like this.

296:2x 2x 2x 37

407:11x 37

361:19x 19

501:3x 167

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

37 = 37

Therefore, the value for common factors is 37.

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 = 21788686392/(1x37)

LCM = 21788686392/37

LCM = 588883416

Thus, we can understand that the LCM of 296,407,361,501 is 588883416.

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

• LCM of 700, 907, 658, 705
• LCM of 103, 138, 523, 262
• LCM of 484, 925, 956, 295
• LCM of 102, 987, 164, 446
• LCM of 395, 779, 175, 927

1. What is the LCM of 296, 407, 361, 501?

Answer: LCM of 296, 407, 361, 501 is 588883416.

2. How to calculate the LCM of 296, 407, 361, 501?

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 296, 407, 361, 501.

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}.