Given numbers are 261,11,748

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

The LCM of 261,11,748 is 195228.

Find LCM of 261,11,748 with Prime Factorization

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

11 x 261 x 1 x 68 = 195228

Therefore, the lowest common multiple of 261,11,748 is 195228.

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 11 x 748 = 2147508

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

11 : 1, 11

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,11,748, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

11:11

748:2x 2x 11x 17

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

11 = 11

Therefore, the value for common factors is 11.

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 = 2147508/(1x11)

LCM = 2147508/11

LCM = 195228

Thus, we can understand that the LCM of 261,11,748 is 195228.

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

• LCM of 919, 79, 346
• LCM of 376, 22, 678
• LCM of 462, 31, 230
• LCM of 820, 69, 114
• LCM of 276, 27, 775

1. What is the LCM of 261, 11, 748?

Answer: LCM of 261, 11, 748 is 195228.

2. How to calculate the LCM of 261, 11, 748?

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, 11, 748.

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}.