Given numbers are 840,976,894,906

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

The LCM of 840,976,894,906 is 2305697520.

Find LCM of 840,976,894,906 with Prime Factorization

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

2 x 2 x 2 x 3 x 35 x 122 x 149 x 151 = 2305697520

Therefore, the lowest common multiple of 840,976,894,906 is 2305697520.

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.

840 x 976 x 894 x 906 = 664040885760

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.

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

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

894 : 1, 2, 3, 6, 149, 298, 447, 894

906 : 1, 2, 3, 6, 151, 302, 453, 906

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,976,894,906, is 2.

Now, the common factors can be found like this.

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

976:2x 2x 2x 2x 61

894:2x 3x 149

906:2x 3x 151

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 3 = 144

Therefore, the value for common factors is 144.

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 = 664040885760/(2x144)

LCM = 664040885760/288

LCM = 2305697520

Thus, we can understand that the LCM of 840,976,894,906 is 2305697520.

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

• LCM of 473, 757, 969, 227
• LCM of 467, 530, 620, 974
• LCM of 339, 816, 827, 383
• LCM of 696, 667, 574, 372
• LCM of 592, 160, 814, 823

1. What is the LCM of 840, 976, 894, 906?

Answer: LCM of 840, 976, 894, 906 is 2305697520.

2. How to calculate the LCM of 840, 976, 894, 906?

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 840, 976, 894, 906.

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}.