Given numbers are 904,324,276,840

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

The LCM of 904,324,276,840 is 58945320.

Find LCM of 904,324,276,840 with Prime Factorization

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

2 x 2 x 2 x 3 x 113 x 27 x 23 x 35 = 58945320

Therefore, the lowest common multiple of 904,324,276,840 is 58945320.

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.

904 x 324 x 276 x 840 = 67905008640

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.

904 : 1, 2, 4, 8, 113, 226, 452, 904

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,324,276,840, is 4.

Now, the common factors can be found like this.

904:2x 2x 2x 113

324:2x 2x 3x 3x 3x 3

276:2x 2x 3x 23

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 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 67905008640/(4x288)

LCM = 67905008640/1152

LCM = 58945320

Thus, we can understand that the LCM of 904,324,276,840 is 58945320.

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

• LCM of 102, 507, 731, 251
• LCM of 714, 612, 933, 939
• LCM of 594, 899, 202, 512
• LCM of 605, 105, 203, 464
• LCM of 830, 161, 916, 143

1. What is the LCM of 904, 324, 276, 840?

Answer: LCM of 904, 324, 276, 840 is 58945320.

2. How to calculate the LCM of 904, 324, 276, 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 904, 324, 276, 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}.