Given numbers are 489,348,491,807,269

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

The LCM of 489,348,491,807,269 is 7492049196.

Find LCM of 489,348,491,807,269 with Prime Factorization

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

3 x 269 x 163 x 116 x 491 x 1 x 1 = 7492049196

Therefore, the lowest common multiple of 489,348,491,807,269 is 7492049196.

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 348 x 491 x 807 x 269 = 18138251103516

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

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

491 : 1, 491

807 : 1, 3, 269, 807

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,348,491,807,269, is 1.

Now, the common factors can be found like this.

489:3x 163

348:2x 2x 3x 29

491:491

807:3x 269

269:269

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

3x 3x 269 = 2421

Therefore, the value for common factors is 2421.

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 = 18138251103516/(1x2421)

LCM = 18138251103516/2421

LCM = 7492049196

Thus, we can understand that the LCM of 489,348,491,807,269 is 7492049196.

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

• LCM of 807, 475, 464, 172, 118
• LCM of 297, 599, 952, 265, 941
• LCM of 895, 784, 527, 728, 722
• LCM of 907, 167, 392, 382, 807
• LCM of 262, 781, 459, 459, 483

1. What is the LCM of 489, 348, 491, 807, 269?

Answer: LCM of 489, 348, 491, 807, 269 is 7492049196.

2. How to calculate the LCM of 489, 348, 491, 807, 269?

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, 348, 491, 807, 269.

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}.