Given numbers are 894,414,313,880

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

The LCM of 894,414,313,880 is 8495395920.

Find LCM of 894,414,313,880 with Prime Factorization

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

2 x 3 x 149 x 69 x 313 x 440 = 8495395920

Therefore, the lowest common multiple of 894,414,313,880 is 8495395920.

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.

894 x 414 x 313 x 880 = 101944751040

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.

894 : 1, 2, 3, 6, 149, 298, 447, 894

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

313 : 1, 313

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,414,313,880, is 1.

Now, the common factors can be found like this.

894:2x 3x 149

414:2x 3x 3x 23

313:313

880:2x 2x 2x 2x 5x 11

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 = 101944751040/(1x12)

LCM = 101944751040/12

LCM = 8495395920

Thus, we can understand that the LCM of 894,414,313,880 is 8495395920.

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

• LCM of 964, 210, 418, 399
• LCM of 130, 534, 572, 876
• LCM of 306, 487, 782, 399
• LCM of 196, 440, 382, 777
• LCM of 708, 404, 398, 323

1. What is the LCM of 894, 414, 313, 880?

Answer: LCM of 894, 414, 313, 880 is 8495395920.

2. How to calculate the LCM of 894, 414, 313, 880?

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 894, 414, 313, 880.

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}.