Given numbers are 378,456,828,182,880

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

The LCM of 378,456,828,182,880 is 944863920.

Find LCM of 378,456,828,182,880 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 7 x 3 x 19 x 23 x 13 x 110 = 944863920

Therefore, the lowest common multiple of 378,456,828,182,880 is 944863920.

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.

378 x 456 x 828 x 182 x 880 = 22858147952640

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.

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

182 : 1, 2, 7, 13, 14, 26, 91, 182

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,456,828,182,880, is 2.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

456:2x 2x 2x 3x 19

828:2x 2x 3x 3x 23

182:2x 7x 13

880:2x 2x 2x 2x 5x 11

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 3x 3x 3x 7 = 12096

Therefore, the value for common factors is 12096.

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 = 22858147952640/(2x12096)

LCM = 22858147952640/24192

LCM = 944863920

Thus, we can understand that the LCM of 378,456,828,182,880 is 944863920.

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

• LCM of 558, 648, 290, 286, 175
• LCM of 981, 327, 922, 861, 812
• LCM of 842, 431, 375, 822, 299
• LCM of 271, 825, 520, 116, 820
• LCM of 573, 979, 868, 760, 882

1. What is the LCM of 378, 456, 828, 182, 880?

Answer: LCM of 378, 456, 828, 182, 880 is 944863920.

2. How to calculate the LCM of 378, 456, 828, 182, 880?

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 378, 456, 828, 182, 880.

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}.