Given numbers are 900,167,466

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

The LCM of 900,167,466 is 35019900.

Find LCM of 900,167,466 with Prime Factorization

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

2 x 450 x 167 x 233 = 35019900

Therefore, the lowest common multiple of 900,167,466 is 35019900.

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.

900 x 167 x 466 = 70039800

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.

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

167 : 1, 167

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,167,466, is 1.

Now, the common factors can be found like this.

900:2x 2x 3x 3x 5x 5

167:167

466:2x 233

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 = 70039800/(1x2)

LCM = 70039800/2

LCM = 35019900

Thus, we can understand that the LCM of 900,167,466 is 35019900.

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

• LCM of 906, 805, 200
• LCM of 952, 881, 163
• LCM of 975, 606, 169
• LCM of 198, 135, 807
• LCM of 563, 988, 166

1. What is the LCM of 900, 167, 466?

Answer: LCM of 900, 167, 466 is 35019900.

2. How to calculate the LCM of 900, 167, 466?

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 900, 167, 466.

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}.