Given numbers are 416,235,816,918,238

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

The LCM of 416,235,816,918,238 is 314102880.

Find LCM of 416,235,816,918,238 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 17 x 26 x 235 x 1 x 9 x 7 = 314102880

Therefore, the lowest common multiple of 416,235,816,918,238 is 314102880.

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.

416 x 235 x 816 x 918 x 238 = 17428940605440

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

235 : 1, 5, 47, 235

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

238 : 1, 2, 7, 14, 17, 34, 119, 238

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,235,816,918,238, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

235:5x 47

816:2x 2x 2x 2x 3x 17

918:2x 3x 3x 3x 17

238:2x 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 2x 2x 3x 17x 17 = 55488

Therefore, the value for common factors is 55488.

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 = 17428940605440/(1x55488)

LCM = 17428940605440/55488

LCM = 314102880

Thus, we can understand that the LCM of 416,235,816,918,238 is 314102880.

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

• LCM of 738, 636, 695, 765, 888
• LCM of 680, 582, 635, 252, 841
• LCM of 538, 101, 427, 868, 797
• LCM of 831, 106, 662, 615, 501
• LCM of 356, 459, 423, 411, 822

1. What is the LCM of 416, 235, 816, 918, 238?

Answer: LCM of 416, 235, 816, 918, 238 is 314102880.

2. How to calculate the LCM of 416, 235, 816, 918, 238?

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 416, 235, 816, 918, 238.

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}.