Given numbers are 242,192,754,182,464

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

The LCM of 242,192,754,182,464 is 61309248.

Find LCM of 242,192,754,182,464 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 29 x 121 x 12 x 1 x 7 x 1 = 61309248

Therefore, the lowest common multiple of 242,192,754,182,464 is 61309248.

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 192 x 754 x 182 x 464 = 2958539071488

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

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

754 : 1, 2, 13, 26, 29, 58, 377, 754

182 : 1, 2, 7, 13, 14, 26, 91, 182

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,192,754,182,464, is 2.

Now, the common factors can be found like this.

242:2x 11x 11

192:2x 2x 2x 2x 2x 2x 3

754:2x 13x 29

182:2x 7x 13

464:2x 2x 2x 2x 29

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 2x 13x 29 = 24128

Therefore, the value for common factors is 24128.

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 = 2958539071488/(2x24128)

LCM = 2958539071488/48256

LCM = 61309248

Thus, we can understand that the LCM of 242,192,754,182,464 is 61309248.

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

• LCM of 540, 928, 861, 465, 451
• LCM of 989, 412, 919, 654, 555
• LCM of 369, 156, 321, 357, 909
• LCM of 938, 754, 262, 506, 916
• LCM of 664, 151, 198, 292, 487

1. What is the LCM of 242, 192, 754, 182, 464?

Answer: LCM of 242, 192, 754, 182, 464 is 61309248.

2. How to calculate the LCM of 242, 192, 754, 182, 464?

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, 192, 754, 182, 464.

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}.