Given numbers are 261,90,491

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

The LCM of 261,90,491 is 1281510.

Find LCM of 261,90,491 with Prime Factorization

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

3 x 3 x 29 x 10 x 491 = 1281510

Therefore, the lowest common multiple of 261,90,491 is 1281510.

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.

261 x 90 x 491 = 11533590

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.

261 : 1, 3, 9, 29, 87, 261

90 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

491 : 1, 491

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,90,491, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

90:2x 3x 3x 5

491:491

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 = 11533590/(1x9)

LCM = 11533590/9

LCM = 1281510

Thus, we can understand that the LCM of 261,90,491 is 1281510.

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

• LCM of 690, 53, 551
• LCM of 218, 73, 613
• LCM of 388, 71, 974
• LCM of 301, 10, 893
• LCM of 836, 36, 443

1. What is the LCM of 261, 90, 491?

Answer: LCM of 261, 90, 491 is 1281510.

2. How to calculate the LCM of 261, 90, 491?

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 261, 90, 491.

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}.