Given numbers are 840,106,106,914

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

The LCM of 840,106,106,914 is 20345640.

Find LCM of 840,106,106,914 with Prime Factorization

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

2 x 53 x 420 x 1 x 1 x 457 = 20345640

Therefore, the lowest common multiple of 840,106,106,914 is 20345640.

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.

840 x 106 x 106 x 914 = 8626551360

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.

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

106 : 1, 2, 53, 106

106 : 1, 2, 53, 106

914 : 1, 2, 457, 914

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,106,106,914, is 2.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

106:2x 53

106:2x 53

914:2x 457

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 53 = 212

Therefore, the value for common factors is 212.

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 = 8626551360/(2x212)

LCM = 8626551360/424

LCM = 20345640

Thus, we can understand that the LCM of 840,106,106,914 is 20345640.

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

• LCM of 636, 461, 141, 362
• LCM of 230, 738, 616, 379
• LCM of 859, 575, 677, 958
• LCM of 848, 908, 798, 710
• LCM of 998, 605, 696, 698

1. What is the LCM of 840, 106, 106, 914?

Answer: LCM of 840, 106, 106, 914 is 20345640.

2. How to calculate the LCM of 840, 106, 106, 914?

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 840, 106, 106, 914.

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}.