Given numbers are 927,291,840,816

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

The LCM of 927,291,840,816 is 856028880.

Find LCM of 927,291,840,816 with Prime Factorization

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

2 x 2 x 2 x 3 x 309 x 97 x 35 x 34 = 856028880

Therefore, the lowest common multiple of 927,291,840,816 is 856028880.

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.

927 x 291 x 840 x 816 = 184902238080

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.

927 : 1, 3, 9, 103, 309, 927

291 : 1, 3, 97, 291

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

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 927,291,840,816, is 3.

Now, the common factors can be found like this.

927:3x 3x 103

291:3x 97

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

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 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 184902238080/(3x72)

LCM = 184902238080/216

LCM = 856028880

Thus, we can understand that the LCM of 927,291,840,816 is 856028880.

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

• LCM of 987, 207, 665, 330
• LCM of 320, 900, 435, 393
• LCM of 587, 584, 908, 910
• LCM of 830, 576, 185, 478
• LCM of 384, 462, 236, 521

1. What is the LCM of 927, 291, 840, 816?

Answer: LCM of 927, 291, 840, 816 is 856028880.

2. How to calculate the LCM of 927, 291, 840, 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 927, 291, 840, 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}.