Given numbers are 366,504,261,880,357

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

The LCM of 366,504,261,880,357 is 1667247120.

Find LCM of 366,504,261,880,357 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 7 x 61 x 1 x 29 x 110 x 17 = 1667247120

Therefore, the lowest common multiple of 366,504,261,880,357 is 1667247120.

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.

366 x 504 x 261 x 880 x 357 = 15125265872640

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.

366 : 1, 2, 3, 6, 61, 122, 183, 366

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

261 : 1, 3, 9, 29, 87, 261

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,504,261,880,357, is 1.

Now, the common factors can be found like this.

366:2x 3x 61

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

261:3x 3x 29

880:2x 2x 2x 2x 5x 11

357:3x 7x 17

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 3x 3x 7 = 9072

Therefore, the value for common factors is 9072.

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 = 15125265872640/(1x9072)

LCM = 15125265872640/9072

LCM = 1667247120

Thus, we can understand that the LCM of 366,504,261,880,357 is 1667247120.

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

• LCM of 122, 358, 129, 978, 543
• LCM of 601, 436, 232, 903, 802
• LCM of 910, 729, 542, 479, 529
• LCM of 869, 895, 693, 781, 336
• LCM of 824, 351, 175, 100, 158

1. What is the LCM of 366, 504, 261, 880, 357?

Answer: LCM of 366, 504, 261, 880, 357 is 1667247120.

2. How to calculate the LCM of 366, 504, 261, 880, 357?

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 366, 504, 261, 880, 357.

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}.