Given numbers are 468,396,744,269,418

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

The LCM of 468,396,744,269,418 is 1631308536.

Find LCM of 468,396,744,269,418 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 13 x 1 x 62 x 269 x 19 = 1631308536

Therefore, the lowest common multiple of 468,396,744,269,418 is 1631308536.

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.

468 x 396 x 744 x 269 x 418 = 15503956326144

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

269 : 1, 269

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,396,744,269,418, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

396:2x 2x 3x 3x 11

744:2x 2x 2x 3x 31

269:269

418:2x 11x 19

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 2x 2x 2x 3x 3x 3x 11 = 9504

Therefore, the value for common factors is 9504.

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 = 15503956326144/(1x9504)

LCM = 15503956326144/9504

LCM = 1631308536

Thus, we can understand that the LCM of 468,396,744,269,418 is 1631308536.

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

• LCM of 641, 239, 143, 307, 555
• LCM of 141, 444, 699, 106, 506
• LCM of 571, 385, 503, 271, 644
• LCM of 267, 352, 510, 905, 945
• LCM of 277, 772, 547, 641, 806

1. What is the LCM of 468, 396, 744, 269, 418?

Answer: LCM of 468, 396, 744, 269, 418 is 1631308536.

2. How to calculate the LCM of 468, 396, 744, 269, 418?

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 468, 396, 744, 269, 418.

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}.