Given numbers are 924,101,714,918

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

The LCM of 924,101,714,918 is 14278572.

Find LCM of 924,101,714,918 with Prime Factorization

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

2 x 3 x 7 x 17 x 22 x 101 x 1 x 9 = 14278572

Therefore, the lowest common multiple of 924,101,714,918 is 14278572.

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.

924 x 101 x 714 x 918 = 61169402448

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

101 : 1, 101

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,101,714,918, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

101:101

714:2x 3x 7x 17

918:2x 3x 3x 3x 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 3x 3x 7x 17 = 4284

Therefore, the value for common factors is 4284.

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 = 61169402448/(1x4284)

LCM = 61169402448/4284

LCM = 14278572

Thus, we can understand that the LCM of 924,101,714,918 is 14278572.

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

• LCM of 536, 234, 107, 901
• LCM of 274, 191, 252, 999
• LCM of 444, 821, 479, 823
• LCM of 508, 981, 628, 593
• LCM of 688, 879, 885, 242

1. What is the LCM of 924, 101, 714, 918?

Answer: LCM of 924, 101, 714, 918 is 14278572.

2. How to calculate the LCM of 924, 101, 714, 918?

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 924, 101, 714, 918.

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}.