Given numbers are 361,269,474,722,404

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

The LCM of 361,269,474,722,404 is 9297992532.

Find LCM of 361,269,474,722,404 with Prime Factorization

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

2 x 19 x 19 x 1 x 269 x 237 x 1 x 202 = 9297992532

Therefore, the lowest common multiple of 361,269,474,722,404 is 9297992532.

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.

361 x 269 x 474 x 722 x 404 = 13426301216208

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.

361 : 1, 19, 361

269 : 1, 269

474 : 1, 2, 3, 6, 79, 158, 237, 474

722 : 1, 2, 19, 38, 361, 722

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,269,474,722,404, is 1.

Now, the common factors can be found like this.

361:19x 19

269:269

474:2x 3x 79

722:2x 19x 19

404:2x 2x 101

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 19x 19 = 1444

Therefore, the value for common factors is 1444.

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 = 13426301216208/(1x1444)

LCM = 13426301216208/1444

LCM = 9297992532

Thus, we can understand that the LCM of 361,269,474,722,404 is 9297992532.

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

• LCM of 153, 975, 566, 809, 436
• LCM of 574, 458, 300, 565, 297
• LCM of 957, 375, 593, 715, 680
• LCM of 147, 874, 608, 209, 224
• LCM of 379, 181, 844, 502, 956

1. What is the LCM of 361, 269, 474, 722, 404?

Answer: LCM of 361, 269, 474, 722, 404 is 9297992532.

2. How to calculate the LCM of 361, 269, 474, 722, 404?

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 361, 269, 474, 722, 404.

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}.