Given numbers are 930,747,374,816

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

The LCM of 930,747,374,816 is 346428720.

Find LCM of 930,747,374,816 with Prime Factorization

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

2 x 3 x 17 x 155 x 249 x 11 x 8 = 346428720

Therefore, the lowest common multiple of 930,747,374,816 is 346428720.

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 747 x 374 x 816 = 212014376640

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

747 : 1, 3, 9, 83, 249, 747

374 : 1, 2, 11, 17, 22, 34, 187, 374

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,747,374,816, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

747:3x 3x 83

374:2x 11x 17

816:2x 2x 2x 2x 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 17 = 612

Therefore, the value for common factors is 612.

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 = 212014376640/(1x612)

LCM = 212014376640/612

LCM = 346428720

Thus, we can understand that the LCM of 930,747,374,816 is 346428720.

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

• LCM of 900, 427, 239, 182
• LCM of 999, 524, 535, 136
• LCM of 371, 444, 371, 591
• LCM of 897, 952, 852, 963
• LCM of 856, 586, 698, 906

1. What is the LCM of 930, 747, 374, 816?

Answer: LCM of 930, 747, 374, 816 is 346428720.

2. How to calculate the LCM of 930, 747, 374, 816?

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, 747, 374, 816.

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}.