Given numbers are 228,562,342,914,545

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

The LCM of 228,562,342,914,545 is 47871289260.

Find LCM of 228,562,342,914,545 with Prime Factorization

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

2 x 3 x 19 x 2 x 281 x 3 x 457 x 545 = 47871289260

Therefore, the lowest common multiple of 228,562,342,914,545 is 47871289260.

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 562 x 342 x 914 x 545 = 21829307902560

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

562 : 1, 2, 281, 562

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

914 : 1, 2, 457, 914

545 : 1, 5, 109, 545

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,562,342,914,545, is 1.

Now, the common factors can be found like this.

228:2x 2x 3x 19

562:2x 281

342:2x 3x 3x 19

914:2x 457

545:5x 109

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 19 = 456

Therefore, the value for common factors is 456.

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 = 21829307902560/(1x456)

LCM = 21829307902560/456

LCM = 47871289260

Thus, we can understand that the LCM of 228,562,342,914,545 is 47871289260.

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

• LCM of 141, 754, 218, 625, 572
• LCM of 543, 484, 390, 373, 984
• LCM of 133, 221, 674, 742, 555
• LCM of 528, 662, 914, 213, 436
• LCM of 312, 765, 983, 339, 173

1. What is the LCM of 228, 562, 342, 914, 545?

Answer: LCM of 228, 562, 342, 914, 545 is 47871289260.

2. How to calculate the LCM of 228, 562, 342, 914, 545?

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, 562, 342, 914, 545.

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}.