Given numbers are 450,167,560,107

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

The LCM of 450,167,560,107 is 450298800.

Find LCM of 450,167,560,107 with Prime Factorization

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

2 x 5 x 45 x 167 x 56 x 107 = 450298800

Therefore, the lowest common multiple of 450,167,560,107 is 450298800.

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.

450 x 167 x 560 x 107 = 4502988000

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.

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

167 : 1, 167

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,167,560,107, is 1.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

167:167

560:2x 2x 2x 2x 5x 7

107:107

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 4502988000/(1x10)

LCM = 4502988000/10

LCM = 450298800

Thus, we can understand that the LCM of 450,167,560,107 is 450298800.

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

• LCM of 649, 251, 302, 177
• LCM of 741, 760, 109, 817
• LCM of 861, 557, 199, 635
• LCM of 983, 156, 178, 969
• LCM of 250, 361, 841, 526

1. What is the LCM of 450, 167, 560, 107?

Answer: LCM of 450, 167, 560, 107 is 450298800.

2. How to calculate the LCM of 450, 167, 560, 107?

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 450, 167, 560, 107.

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}.