Given numbers are 930,398,816,840

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

The LCM of 930,398,816,840 is 176186640.

Find LCM of 930,398,816,840 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 31 x 199 x 34 x 7 = 176186640

Therefore, the lowest common multiple of 930,398,816,840 is 176186640.

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.

930 x 398 x 816 x 840 = 253708761600

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.

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

398 : 1, 2, 199, 398

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

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,398,816,840, is 2.

Now, the common factors can be found like this.

930:2x 3x 5x 31

398:2x 199

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

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

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 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 253708761600/(2x720)

LCM = 253708761600/1440

LCM = 176186640

Thus, we can understand that the LCM of 930,398,816,840 is 176186640.

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

• LCM of 105, 441, 975, 197
• LCM of 497, 249, 567, 448
• LCM of 141, 906, 823, 285
• LCM of 576, 734, 254, 909
• LCM of 777, 829, 987, 744

1. What is the LCM of 930, 398, 816, 840?

Answer: LCM of 930, 398, 816, 840 is 176186640.

2. How to calculate the LCM of 930, 398, 816, 840?

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 930, 398, 816, 840.

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}.