Given numbers are 496,169,480,115,230

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

The LCM of 496,169,480,115,230 is 57838560.

Find LCM of 496,169,480,115,230 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 23 x 31 x 169 x 6 x 1 x 1 = 57838560

Therefore, the lowest common multiple of 496,169,480,115,230 is 57838560.

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.

496 x 169 x 480 x 115 x 230 = 1064229504000

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.

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

169 : 1, 13, 169

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

115 : 1, 5, 23, 115

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,169,480,115,230, is 1.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

169:13x 13

480:2x 2x 2x 2x 2x 3x 5

115:5x 23

230:2x 5x 23

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 5x 5x 23 = 18400

Therefore, the value for common factors is 18400.

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 = 1064229504000/(1x18400)

LCM = 1064229504000/18400

LCM = 57838560

Thus, we can understand that the LCM of 496,169,480,115,230 is 57838560.

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

• LCM of 968, 581, 352, 195, 824
• LCM of 690, 338, 775, 433, 680
• LCM of 529, 849, 482, 268, 391
• LCM of 322, 838, 182, 880, 469
• LCM of 518, 452, 270, 735, 883

1. What is the LCM of 496, 169, 480, 115, 230?

Answer: LCM of 496, 169, 480, 115, 230 is 57838560.

2. How to calculate the LCM of 496, 169, 480, 115, 230?

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 496, 169, 480, 115, 230.

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}.