Given numbers are 414,346,300,919

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

The LCM of 414,346,300,919 is 3291030900.

Find LCM of 414,346,300,919 with Prime Factorization

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

2 x 3 x 69 x 173 x 50 x 919 = 3291030900

Therefore, the lowest common multiple of 414,346,300,919 is 3291030900.

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.

414 x 346 x 300 x 919 = 39492370800

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

346 : 1, 2, 173, 346

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

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,346,300,919, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

346:2x 173

300:2x 2x 3x 5x 5

919:919

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

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 39492370800/(1x12)

LCM = 39492370800/12

LCM = 3291030900

Thus, we can understand that the LCM of 414,346,300,919 is 3291030900.

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

• LCM of 505, 408, 256, 315
• LCM of 573, 245, 860, 744
• LCM of 856, 483, 603, 654
• LCM of 864, 174, 468, 331
• LCM of 418, 843, 508, 906

1. What is the LCM of 414, 346, 300, 919?

Answer: LCM of 414, 346, 300, 919 is 3291030900.

2. How to calculate the LCM of 414, 346, 300, 919?

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 414, 346, 300, 919.

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}.