Given numbers are 209,75,100

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

The LCM of 209,75,100 is 62700.

Find LCM of 209,75,100 with Prime Factorization

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

5 x 5 x 209 x 3 x 4 = 62700

Therefore, the lowest common multiple of 209,75,100 is 62700.

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.

209 x 75 x 100 = 1567500

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.

209 : 1, 11, 19, 209

75 : 1, 3, 5, 15, 25, 75

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,75,100, is 1.

Now, the common factors can be found like this.

209:11x 19

75:3x 5x 5

100:2x 2x 5x 5

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 1567500/(1x25)

LCM = 1567500/25

LCM = 62700

Thus, we can understand that the LCM of 209,75,100 is 62700.

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

• LCM of 556, 89, 693
• LCM of 797, 85, 459
• LCM of 691, 42, 460
• LCM of 956, 79, 968
• LCM of 326, 86, 712

1. What is the LCM of 209, 75, 100?

Answer: LCM of 209, 75, 100 is 62700.

2. How to calculate the LCM of 209, 75, 100?

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 209, 75, 100.

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}.