Given numbers are 238,708,406,880,523

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

The LCM of 238,708,406,880,523 is 281127018480.

Find LCM of 238,708,406,880,523 with Prime Factorization

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

2 x 2 x 7 x 17 x 177 x 29 x 220 x 523 = 281127018480

Therefore, the lowest common multiple of 238,708,406,880,523 is 281127018480.

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.

238 x 708 x 406 x 880 x 523 = 31486226069760

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.

238 : 1, 2, 7, 14, 17, 34, 119, 238

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

406 : 1, 2, 7, 14, 29, 58, 203, 406

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,708,406,880,523, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

708:2x 2x 3x 59

406:2x 7x 29

880:2x 2x 2x 2x 5x 11

523:523

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 7 = 112

Therefore, the value for common factors is 112.

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 = 31486226069760/(1x112)

LCM = 31486226069760/112

LCM = 281127018480

Thus, we can understand that the LCM of 238,708,406,880,523 is 281127018480.

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

• LCM of 831, 369, 511, 382, 208
• LCM of 381, 166, 828, 647, 153
• LCM of 272, 472, 778, 428, 884
• LCM of 281, 406, 413, 369, 764
• LCM of 156, 740, 745, 519, 124

1. What is the LCM of 238, 708, 406, 880, 523?

Answer: LCM of 238, 708, 406, 880, 523 is 281127018480.

2. How to calculate the LCM of 238, 708, 406, 880, 523?

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 238, 708, 406, 880, 523.

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}.