Given numbers are 228,900,156,294,942

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

The LCM of 228,900,156,294,942 is 1710153900.

Find LCM of 228,900,156,294,942 with Prime Factorization

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

2 x 2 x 3 x 19 x 75 x 13 x 49 x 157 = 1710153900

Therefore, the lowest common multiple of 228,900,156,294,942 is 1710153900.

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.

228 x 900 x 156 x 294 x 942 = 8865437817600

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.

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

942 : 1, 2, 3, 6, 157, 314, 471, 942

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,900,156,294,942, is 6.

Now, the common factors can be found like this.

228:2x 2x 3x 19

900:2x 2x 3x 3x 5x 5

156:2x 2x 3x 13

294:2x 3x 7x 7

942:2x 3x 157

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 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 8865437817600/(6x864)

LCM = 8865437817600/5184

LCM = 1710153900

Thus, we can understand that the LCM of 228,900,156,294,942 is 1710153900.

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

• LCM of 670, 754, 889, 244, 928
• LCM of 368, 123, 793, 444, 957
• LCM of 206, 788, 988, 762, 408
• LCM of 381, 705, 601, 478, 935
• LCM of 644, 959, 225, 179, 468

1. What is the LCM of 228, 900, 156, 294, 942?

Answer: LCM of 228, 900, 156, 294, 942 is 1710153900.

2. How to calculate the LCM of 228, 900, 156, 294, 942?

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 228, 900, 156, 294, 942.

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}.