Given numbers are 301,225,209,102

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

The LCM of 301,225,209,102 is 481253850.

Find LCM of 301,225,209,102 with Prime Factorization

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

3 x 301 x 75 x 209 x 34 = 481253850

Therefore, the lowest common multiple of 301,225,209,102 is 481253850.

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.

301 x 225 x 209 x 102 = 1443761550

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.

301 : 1, 7, 43, 301

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

209 : 1, 11, 19, 209

102 : 1, 2, 3, 6, 17, 34, 51, 102

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,225,209,102, is 1.

Now, the common factors can be found like this.

301:7x 43

225:3x 3x 5x 5

209:11x 19

102:2x 3x 17

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

3 = 3

Therefore, the value for common factors is 3.

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 = 1443761550/(1x3)

LCM = 1443761550/3

LCM = 481253850

Thus, we can understand that the LCM of 301,225,209,102 is 481253850.

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

• LCM of 566, 435, 196, 449
• LCM of 488, 391, 861, 412
• LCM of 113, 581, 931, 764
• LCM of 178, 597, 762, 732
• LCM of 198, 466, 864, 479

1. What is the LCM of 301, 225, 209, 102?

Answer: LCM of 301, 225, 209, 102 is 481253850.

2. How to calculate the LCM of 301, 225, 209, 102?

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 301, 225, 209, 102.

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}.