Given numbers are 489,543,961,948,175

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

The LCM of 489,543,961,948,175 is 4703660339700.

Find LCM of 489,543,961,948,175 with Prime Factorization

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

3 x 163 x 181 x 961 x 316 x 175 = 4703660339700

Therefore, the lowest common multiple of 489,543,961,948,175 is 4703660339700.

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.

489 x 543 x 961 x 948 x 175 = 42332943057300

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.

489 : 1, 3, 163, 489

543 : 1, 3, 181, 543

961 : 1, 31, 961

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

175 : 1, 5, 7, 25, 35, 175

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,543,961,948,175, is 1.

Now, the common factors can be found like this.

489:3x 163

543:3x 181

961:31x 31

948:2x 2x 3x 79

175:5x 5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 42332943057300/(1x9)

LCM = 42332943057300/9

LCM = 4703660339700

Thus, we can understand that the LCM of 489,543,961,948,175 is 4703660339700.

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

• LCM of 617, 665, 403, 714, 654
• LCM of 876, 166, 849, 789, 410
• LCM of 278, 544, 525, 671, 321
• LCM of 544, 959, 601, 554, 798
• LCM of 838, 331, 137, 899, 159

1. What is the LCM of 489, 543, 961, 948, 175?

Answer: LCM of 489, 543, 961, 948, 175 is 4703660339700.

2. How to calculate the LCM of 489, 543, 961, 948, 175?

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 489, 543, 961, 948, 175.

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}.