Given numbers are 242,504,258,942,364

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

The LCM of 242,504,258,942,364 is 5352138792.

Find LCM of 242,504,258,942,364 with Prime Factorization

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

2 x 2 x 3 x 7 x 121 x 6 x 43 x 157 x 13 = 5352138792

Therefore, the lowest common multiple of 242,504,258,942,364 is 5352138792.

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 504 x 258 x 942 x 364 = 10789911804672

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

258 : 1, 2, 3, 6, 43, 86, 129, 258

942 : 1, 2, 3, 6, 157, 314, 471, 942

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,504,258,942,364, is 2.

Now, the common factors can be found like this.

242:2x 11x 11

504:2x 2x 2x 3x 3x 7

258:2x 3x 43

942:2x 3x 157

364:2x 2x 7x 13

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 3x 3x 7 = 1008

Therefore, the value for common factors is 1008.

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 = 10789911804672/(2x1008)

LCM = 10789911804672/2016

LCM = 5352138792

Thus, we can understand that the LCM of 242,504,258,942,364 is 5352138792.

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

• LCM of 394, 111, 865, 679, 211
• LCM of 898, 884, 921, 181, 298
• LCM of 332, 642, 851, 447, 784
• LCM of 453, 744, 488, 651, 594
• LCM of 234, 311, 353, 306, 301

1. What is the LCM of 242, 504, 258, 942, 364?

Answer: LCM of 242, 504, 258, 942, 364 is 5352138792.

2. How to calculate the LCM of 242, 504, 258, 942, 364?

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, 504, 258, 942, 364.

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}.