Given numbers are 489,410,338,491,434

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

The LCM of 489,410,338,491,434 is 3610111757070.

Find LCM of 489,410,338,491,434 with Prime Factorization

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

2 x 489 x 205 x 169 x 491 x 217 = 3610111757070

Therefore, the lowest common multiple of 489,410,338,491,434 is 3610111757070.

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 410 x 338 x 491 x 434 = 14440447028280

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

410 : 1, 2, 5, 10, 41, 82, 205, 410

338 : 1, 2, 13, 26, 169, 338

491 : 1, 491

434 : 1, 2, 7, 14, 31, 62, 217, 434

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,410,338,491,434, is 1.

Now, the common factors can be found like this.

489:3x 163

410:2x 5x 41

338:2x 13x 13

491:491

434:2x 7x 31

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 14440447028280/(1x4)

LCM = 14440447028280/4

LCM = 3610111757070

Thus, we can understand that the LCM of 489,410,338,491,434 is 3610111757070.

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

• LCM of 267, 143, 234, 904, 181
• LCM of 316, 933, 546, 765, 261
• LCM of 901, 427, 746, 787, 613
• LCM of 741, 207, 398, 643, 111
• LCM of 319, 701, 790, 835, 283

1. What is the LCM of 489, 410, 338, 491, 434?

Answer: LCM of 489, 410, 338, 491, 434 is 3610111757070.

2. How to calculate the LCM of 489, 410, 338, 491, 434?

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, 410, 338, 491, 434.

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}.