Given numbers are 264,117,363,974

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

The LCM of 264,117,363,974 is 55155672.

Find LCM of 264,117,363,974 with Prime Factorization

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

2 x 3 x 11 x 4 x 39 x 11 x 487 = 55155672

Therefore, the lowest common multiple of 264,117,363,974 is 55155672.

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.

264 x 117 x 363 x 974 = 10920823056

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

117 : 1, 3, 9, 13, 39, 117

363 : 1, 3, 11, 33, 121, 363

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,117,363,974, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

117:3x 3x 13

363:3x 11x 11

974:2x 487

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 11 = 198

Therefore, the value for common factors is 198.

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 = 10920823056/(1x198)

LCM = 10920823056/198

LCM = 55155672

Thus, we can understand that the LCM of 264,117,363,974 is 55155672.

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

• LCM of 762, 845, 963, 922
• LCM of 217, 462, 824, 186
• LCM of 789, 324, 525, 951
• LCM of 754, 360, 181, 578
• LCM of 380, 670, 790, 907

1. What is the LCM of 264, 117, 363, 974?

Answer: LCM of 264, 117, 363, 974 is 55155672.

2. How to calculate the LCM of 264, 117, 363, 974?

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 264, 117, 363, 974.

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}.