Given numbers are 840,930,612,391,679

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

The LCM of 840,930,612,391,679 is 2962857240.

Find LCM of 840,930,612,391,679 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 17 x 2 x 31 x 3 x 23 x 97 = 2962857240

Therefore, the lowest common multiple of 840,930,612,391,679 is 2962857240.

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 930 x 612 x 391 x 679 = 126928804161600

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

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

391 : 1, 17, 23, 391

679 : 1, 7, 97, 679

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,930,612,391,679, is 1.

Now, the common factors can be found like this.

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

930:2x 3x 5x 31

612:2x 2x 3x 3x 17

391:17x 23

679:7x 97

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 3x 3x 5x 7x 17 = 42840

Therefore, the value for common factors is 42840.

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 = 126928804161600/(1x42840)

LCM = 126928804161600/42840

LCM = 2962857240

Thus, we can understand that the LCM of 840,930,612,391,679 is 2962857240.

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

• LCM of 200, 250, 126, 746, 902
• LCM of 476, 655, 455, 141, 892
• LCM of 231, 404, 480, 411, 981
• LCM of 507, 379, 776, 784, 331
• LCM of 446, 482, 819, 764, 244

1. What is the LCM of 840, 930, 612, 391, 679?

Answer: LCM of 840, 930, 612, 391, 679 is 2962857240.

2. How to calculate the LCM of 840, 930, 612, 391, 679?

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, 930, 612, 391, 679.

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}.