Given numbers are 300,421,434

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

The LCM of 300,421,434 is 27407100.

Find LCM of 300,421,434 with Prime Factorization

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

2 x 150 x 421 x 217 = 27407100

Therefore, the lowest common multiple of 300,421,434 is 27407100.

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.

300 x 421 x 434 = 54814200

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.

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

421 : 1, 421

434 : 1, 2, 7, 14, 31, 62, 217, 434

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,421,434, is 1.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

421:421

434:2x 7x 31

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 = 54814200/(1x2)

LCM = 54814200/2

LCM = 27407100

Thus, we can understand that the LCM of 300,421,434 is 27407100.

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

• LCM of 981, 476, 287
• LCM of 380, 212, 593
• LCM of 390, 284, 971
• LCM of 618, 270, 994
• LCM of 426, 873, 428

1. What is the LCM of 300, 421, 434?

Answer: LCM of 300, 421, 434 is 27407100.

2. How to calculate the LCM of 300, 421, 434?

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 300, 421, 434.

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}.