Given numbers are 228,590,368,107,518

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

The LCM of 228,590,368,107,518 is 171485826960.

Find LCM of 228,590,368,107,518 with Prime Factorization

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

2 x 2 x 57 x 295 x 92 x 107 x 259 = 171485826960

Therefore, the lowest common multiple of 228,590,368,107,518 is 171485826960.

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 590 x 368 x 107 x 518 = 2743773231360

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

590 : 1, 2, 5, 10, 59, 118, 295, 590

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

107 : 1, 107

518 : 1, 2, 7, 14, 37, 74, 259, 518

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,590,368,107,518, is 1.

Now, the common factors can be found like this.

228:2x 2x 3x 19

590:2x 5x 59

368:2x 2x 2x 2x 23

107:107

518:2x 7x 37

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 2 = 16

Therefore, the value for common factors is 16.

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 = 2743773231360/(1x16)

LCM = 2743773231360/16

LCM = 171485826960

Thus, we can understand that the LCM of 228,590,368,107,518 is 171485826960.

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

• LCM of 690, 912, 198, 773, 187
• LCM of 343, 677, 530, 226, 871
• LCM of 874, 101, 541, 479, 594
• LCM of 724, 558, 678, 329, 881
• LCM of 979, 761, 926, 369, 893

1. What is the LCM of 228, 590, 368, 107, 518?

Answer: LCM of 228, 590, 368, 107, 518 is 171485826960.

2. How to calculate the LCM of 228, 590, 368, 107, 518?

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, 590, 368, 107, 518.

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}.