Given numbers are 345,113,226,944

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

The LCM of 345,113,226,944 is 36801840.

Find LCM of 345,113,226,944 with Prime Factorization

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

2 x 113 x 345 x 1 x 1 x 472 = 36801840

Therefore, the lowest common multiple of 345,113,226,944 is 36801840.

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.

345 x 113 x 226 x 944 = 8317215840

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

113 : 1, 113

226 : 1, 2, 113, 226

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,113,226,944, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

113:113

226:2x 113

944:2x 2x 2x 2x 59

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 113 = 226

Therefore, the value for common factors is 226.

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 = 8317215840/(1x226)

LCM = 8317215840/226

LCM = 36801840

Thus, we can understand that the LCM of 345,113,226,944 is 36801840.

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

• LCM of 792, 285, 755, 228
• LCM of 739, 951, 427, 938
• LCM of 746, 392, 735, 788
• LCM of 289, 610, 399, 643
• LCM of 914, 105, 217, 802

1. What is the LCM of 345, 113, 226, 944?

Answer: LCM of 345, 113, 226, 944 is 36801840.

2. How to calculate the LCM of 345, 113, 226, 944?

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 345, 113, 226, 944.

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}.