Given numbers are 90,46,257

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

The LCM of 90,46,257 is 531990.

Find LCM of 90,46,257 with Prime Factorization

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

2 x 45 x 23 x 257 = 531990

Therefore, the lowest common multiple of 90,46,257 is 531990.

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.

90 x 46 x 257 = 1063980

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.

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

46 : 1, 2, 23, 46

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 90,46,257, is 1.

Now, the common factors can be found like this.

90:2x 3x 3x 5

46:2x 23

257:257

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

2 = 2

Therefore, the value for common factors is 2.

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 = 1063980/(1x2)

LCM = 1063980/2

LCM = 531990

Thus, we can understand that the LCM of 90,46,257 is 531990.

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

• LCM of 55, 17, 883
• LCM of 79, 54, 698
• LCM of 31, 78, 515
• LCM of 26, 18, 160
• LCM of 71, 57, 114

1. What is the LCM of 90, 46, 257?

Answer: LCM of 90, 46, 257 is 531990.

2. How to calculate the LCM of 90, 46, 257?

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 90, 46, 257.

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}.