Given numbers are 242,430,872,460,292

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

The LCM of 242,430,872,460,292 is 38088249320.

Find LCM of 242,430,872,460,292 with Prime Factorization

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

2 x 2 x 5 x 121 x 43 x 218 x 23 x 73 = 38088249320

Therefore, the lowest common multiple of 242,430,872,460,292 is 38088249320.

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 430 x 872 x 460 x 292 = 12188239782400

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

430 : 1, 2, 5, 10, 43, 86, 215, 430

872 : 1, 2, 4, 8, 109, 218, 436, 872

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

292 : 1, 2, 4, 73, 146, 292

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,430,872,460,292, is 2.

Now, the common factors can be found like this.

242:2x 11x 11

430:2x 5x 43

872:2x 2x 2x 109

460:2x 2x 5x 23

292:2x 2x 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 2x 2x 2x 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 12188239782400/(2x160)

LCM = 12188239782400/320

LCM = 38088249320

Thus, we can understand that the LCM of 242,430,872,460,292 is 38088249320.

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

• LCM of 508, 105, 896, 856, 491
• LCM of 532, 916, 519, 388, 670
• LCM of 313, 649, 975, 682, 890
• LCM of 133, 790, 988, 885, 238
• LCM of 835, 773, 749, 846, 288

1. What is the LCM of 242, 430, 872, 460, 292?

Answer: LCM of 242, 430, 872, 460, 292 is 38088249320.

2. How to calculate the LCM of 242, 430, 872, 460, 292?

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, 430, 872, 460, 292.

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}.