Given numbers are 946,874,924,312,882

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

The LCM of 946,874,924,312,882 is 9480134664.

Find LCM of 946,874,924,312,882 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 43 x 437 x 1 x 26 x 21 = 9480134664

Therefore, the lowest common multiple of 946,874,924,312,882 is 9480134664.

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.

946 x 874 x 924 x 312 x 882 = 210231466308864

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.

946 : 1, 2, 11, 22, 43, 86, 473, 946

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,874,924,312,882, is 2.

Now, the common factors can be found like this.

946:2x 11x 43

874:2x 19x 23

924:2x 2x 3x 7x 11

312:2x 2x 2x 3x 13

882:2x 3x 3x 7x 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 3x 3x 7x 11 = 11088

Therefore, the value for common factors is 11088.

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 = 210231466308864/(2x11088)

LCM = 210231466308864/22176

LCM = 9480134664

Thus, we can understand that the LCM of 946,874,924,312,882 is 9480134664.

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

• LCM of 793, 803, 866, 798, 223
• LCM of 854, 316, 462, 473, 762
• LCM of 144, 254, 847, 588, 385
• LCM of 974, 821, 984, 408, 904
• LCM of 365, 297, 761, 463, 146

1. What is the LCM of 946, 874, 924, 312, 882?

Answer: LCM of 946, 874, 924, 312, 882 is 9480134664.

2. How to calculate the LCM of 946, 874, 924, 312, 882?

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 946, 874, 924, 312, 882.

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}.