Given numbers are 242,364,928,767,293

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

The LCM of 242,364,928,767,293 is 176642161696.

Find LCM of 242,364,928,767,293 with Prime Factorization

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

2 x 2 x 13 x 121 x 7 x 232 x 59 x 293 = 176642161696

Therefore, the lowest common multiple of 242,364,928,767,293 is 176642161696.

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 364 x 928 x 767 x 293 = 18370784816384

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

767 : 1, 13, 59, 767

293 : 1, 293

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,364,928,767,293, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

364:2x 2x 7x 13

928:2x 2x 2x 2x 2x 29

767:13x 59

293:293

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 13 = 104

Therefore, the value for common factors is 104.

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 = 18370784816384/(1x104)

LCM = 18370784816384/104

LCM = 176642161696

Thus, we can understand that the LCM of 242,364,928,767,293 is 176642161696.

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

• LCM of 522, 876, 142, 654, 503
• LCM of 850, 414, 758, 970, 476
• LCM of 564, 984, 452, 730, 945
• LCM of 970, 938, 635, 706, 910
• LCM of 267, 822, 505, 951, 152

1. What is the LCM of 242, 364, 928, 767, 293?

Answer: LCM of 242, 364, 928, 767, 293 is 176642161696.

2. How to calculate the LCM of 242, 364, 928, 767, 293?

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, 364, 928, 767, 293.

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}.