Given numbers are 416,420,596,894

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

The LCM of 416,420,596,894 is 6508320.

Find LCM of 416,420,596,894 with Prime Factorization

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

2 x 2 x 3 x 149 x 104 x 35 x 1 x 1 = 6508320

Therefore, the lowest common multiple of 416,420,596,894 is 6508320.

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.

416 x 420 x 596 x 894 = 93095009280

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

596 : 1, 2, 4, 149, 298, 596

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,420,596,894, is 2.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

420:2x 2x 3x 5x 7

596:2x 2x 149

894:2x 3x 149

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 2x 2x 3x 149 = 7152

Therefore, the value for common factors is 7152.

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 = 93095009280/(2x7152)

LCM = 93095009280/14304

LCM = 6508320

Thus, we can understand that the LCM of 416,420,596,894 is 6508320.

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

• LCM of 908, 832, 811, 645
• LCM of 988, 412, 501, 433
• LCM of 664, 176, 439, 606
• LCM of 241, 208, 128, 712
• LCM of 957, 518, 170, 953

1. What is the LCM of 416, 420, 596, 894?

Answer: LCM of 416, 420, 596, 894 is 6508320.

2. How to calculate the LCM of 416, 420, 596, 894?

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 416, 420, 596, 894.

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}.