Given numbers are 816,874,120,272

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

The LCM of 816,874,120,272 is 1782960.

Find LCM of 816,874,120,272 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 17 x 1 x 437 x 5 x 1 = 1782960

Therefore, the lowest common multiple of 816,874,120,272 is 1782960.

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.

816 x 874 x 120 x 272 = 23278325760

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.

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

874 : 1, 2, 19, 23, 38, 46, 437, 874

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,874,120,272, is 2.

Now, the common factors can be found like this.

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

874:2x 19x 23

120:2x 2x 2x 3x 5

272:2x 2x 2x 2x 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 2x 2x 2x 2x 3x 17 = 6528

Therefore, the value for common factors is 6528.

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 = 23278325760/(2x6528)

LCM = 23278325760/13056

LCM = 1782960

Thus, we can understand that the LCM of 816,874,120,272 is 1782960.

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

• LCM of 752, 651, 104, 495
• LCM of 527, 171, 636, 587
• LCM of 971, 992, 429, 463
• LCM of 168, 914, 285, 719
• LCM of 572, 819, 823, 220

1. What is the LCM of 816, 874, 120, 272?

Answer: LCM of 816, 874, 120, 272 is 1782960.

2. How to calculate the LCM of 816, 874, 120, 272?

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 816, 874, 120, 272.

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}.