Given numbers are 242,302,408,730

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

The LCM of 242,302,408,730 is 2720917320.

Find LCM of 242,302,408,730 with Prime Factorization

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

2 x 121 x 151 x 204 x 365 = 2720917320

Therefore, the lowest common multiple of 242,302,408,730 is 2720917320.

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.

242 x 302 x 408 x 730 = 21767338560

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.

242 : 1, 2, 11, 22, 121, 242

302 : 1, 2, 151, 302

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

730 : 1, 2, 5, 10, 73, 146, 365, 730

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,302,408,730, is 2.

Now, the common factors can be found like this.

242:2x 11x 11

302:2x 151

408:2x 2x 2x 3x 17

730:2x 5x 73

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 21767338560/(2x4)

LCM = 21767338560/8

LCM = 2720917320

Thus, we can understand that the LCM of 242,302,408,730 is 2720917320.

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

• LCM of 550, 483, 196, 452
• LCM of 739, 175, 350, 759
• LCM of 782, 253, 571, 930
• LCM of 153, 525, 636, 143
• LCM of 383, 365, 652, 197

1. What is the LCM of 242, 302, 408, 730?

Answer: LCM of 242, 302, 408, 730 is 2720917320.

2. How to calculate the LCM of 242, 302, 408, 730?

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 242, 302, 408, 730.

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}.