Given numbers are 378,148,229,873,240

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

The LCM of 378,148,229,873,240 is 12426840720.

Find LCM of 378,148,229,873,240 with Prime Factorization

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

2 x 2 x 3 x 3 x 21 x 37 x 229 x 97 x 20 = 12426840720

Therefore, the lowest common multiple of 378,148,229,873,240 is 12426840720.

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 148 x 229 x 873 x 240 = 2684197595520

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

148 : 1, 2, 4, 37, 74, 148

229 : 1, 229

873 : 1, 3, 9, 97, 291, 873

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,148,229,873,240, is 1.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

148:2x 2x 37

229:229

873:3x 3x 97

240:2x 2x 2x 2x 3x 5

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 2684197595520/(1x216)

LCM = 2684197595520/216

LCM = 12426840720

Thus, we can understand that the LCM of 378,148,229,873,240 is 12426840720.

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

• LCM of 922, 654, 279, 996, 563
• LCM of 949, 213, 169, 987, 158
• LCM of 381, 340, 891, 741, 228
• LCM of 936, 985, 654, 323, 387
• LCM of 948, 970, 616, 318, 791

1. What is the LCM of 378, 148, 229, 873, 240?

Answer: LCM of 378, 148, 229, 873, 240 is 12426840720.

2. How to calculate the LCM of 378, 148, 229, 873, 240?

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, 148, 229, 873, 240.

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}.