Given numbers are 316,266,340,935,900

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

The LCM of 316,266,340,935,900 is 1768328100.

Find LCM of 316,266,340,935,900 with Prime Factorization

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

2 x 2 x 5 x 17 x 79 x 133 x 1 x 11 x 45 = 1768328100

Therefore, the lowest common multiple of 316,266,340,935,900 is 1768328100.

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.

316 x 266 x 340 x 935 x 900 = 24049262160000

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.

316 : 1, 2, 4, 79, 158, 316

266 : 1, 2, 7, 14, 19, 38, 133, 266

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

935 : 1, 5, 11, 17, 55, 85, 187, 935

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 316,266,340,935,900, is 1.

Now, the common factors can be found like this.

316:2x 2x 79

266:2x 7x 19

340:2x 2x 5x 17

935:5x 11x 17

900:2x 2x 3x 3x 5x 5

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 5x 5x 17 = 13600

Therefore, the value for common factors is 13600.

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 = 24049262160000/(1x13600)

LCM = 24049262160000/13600

LCM = 1768328100

Thus, we can understand that the LCM of 316,266,340,935,900 is 1768328100.

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

• LCM of 849, 260, 766, 958, 279
• LCM of 894, 635, 306, 182, 521
• LCM of 118, 499, 670, 666, 711
• LCM of 922, 236, 217, 944, 925
• LCM of 117, 601, 622, 978, 393

1. What is the LCM of 316, 266, 340, 935, 900?

Answer: LCM of 316, 266, 340, 935, 900 is 1768328100.

2. How to calculate the LCM of 316, 266, 340, 935, 900?

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 316, 266, 340, 935, 900.

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}.