Given numbers are 240,285,426,497,421

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

The LCM of 240,285,426,497,421 is 954120720.

Find LCM of 240,285,426,497,421 with Prime Factorization

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

2 x 3 x 5 x 71 x 8 x 19 x 1 x 7 x 421 = 954120720

Therefore, the lowest common multiple of 240,285,426,497,421 is 954120720.

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.

240 x 285 x 426 x 497 x 421 = 6096831400800

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.

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

285 : 1, 3, 5, 15, 19, 57, 95, 285

426 : 1, 2, 3, 6, 71, 142, 213, 426

497 : 1, 7, 71, 497

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,285,426,497,421, is 1.

Now, the common factors can be found like this.

240:2x 2x 2x 2x 3x 5

285:3x 5x 19

426:2x 3x 71

497:7x 71

421:421

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

2x 3x 3x 5x 71 = 6390

Therefore, the value for common factors is 6390.

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 = 6096831400800/(1x6390)

LCM = 6096831400800/6390

LCM = 954120720

Thus, we can understand that the LCM of 240,285,426,497,421 is 954120720.

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

• LCM of 490, 231, 628, 689, 186
• LCM of 369, 605, 465, 925, 309
• LCM of 979, 826, 934, 658, 376
• LCM of 912, 988, 506, 932, 166
• LCM of 569, 383, 109, 164, 260

1. What is the LCM of 240, 285, 426, 497, 421?

Answer: LCM of 240, 285, 426, 497, 421 is 954120720.

2. How to calculate the LCM of 240, 285, 426, 497, 421?

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 240, 285, 426, 497, 421.

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}.