Given numbers are 707,21,255

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

The LCM of 707,21,255 is 180285.

Find LCM of 707,21,255 with Prime Factorization

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

3 x 7 x 101 x 1 x 85 = 180285

Therefore, the lowest common multiple of 707,21,255 is 180285.

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.

707 x 21 x 255 = 3785985

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.

707 : 1, 7, 101, 707

21 : 1, 3, 7, 21

255 : 1, 3, 5, 15, 17, 51, 85, 255

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,21,255, is 1.

Now, the common factors can be found like this.

707:7x 101

21:3x 7

255:3x 5x 17

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

3x 7 = 21

Therefore, the value for common factors is 21.

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 = 3785985/(1x21)

LCM = 3785985/21

LCM = 180285

Thus, we can understand that the LCM of 707,21,255 is 180285.

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

• LCM of 154, 70, 357
• LCM of 181, 17, 834
• LCM of 164, 36, 513
• LCM of 390, 26, 790
• LCM of 319, 13, 902

1. What is the LCM of 707, 21, 255?

Answer: LCM of 707, 21, 255 is 180285.

2. How to calculate the LCM of 707, 21, 255?

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 707, 21, 255.

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}.