Given numbers are 840,398,562,218,114

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

The LCM of 840,398,562,218,114 is 97278929160.

Find LCM of 840,398,562,218,114 with Prime Factorization

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

2 x 3 x 140 x 199 x 281 x 109 x 19 = 97278929160

Therefore, the lowest common multiple of 840,398,562,218,114 is 97278929160.

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 398 x 562 x 218 x 114 = 4669388599680

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

398 : 1, 2, 199, 398

562 : 1, 2, 281, 562

218 : 1, 2, 109, 218

114 : 1, 2, 3, 6, 19, 38, 57, 114

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,398,562,218,114, is 2.

Now, the common factors can be found like this.

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

398:2x 199

562:2x 281

218:2x 109

114:2x 3x 19

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 3 = 24

Therefore, the value for common factors is 24.

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 = 4669388599680/(2x24)

LCM = 4669388599680/48

LCM = 97278929160

Thus, we can understand that the LCM of 840,398,562,218,114 is 97278929160.

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

• LCM of 778, 684, 421, 439, 901
• LCM of 628, 463, 898, 557, 772
• LCM of 175, 538, 856, 595, 944
• LCM of 445, 764, 873, 662, 552
• LCM of 689, 547, 812, 946, 741

1. What is the LCM of 840, 398, 562, 218, 114?

Answer: LCM of 840, 398, 562, 218, 114 is 97278929160.

2. How to calculate the LCM of 840, 398, 562, 218, 114?

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, 398, 562, 218, 114.

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}.