Given numbers are 657,420,214,892

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

The LCM of 657,420,214,892 is 2194734780.

Find LCM of 657,420,214,892 with Prime Factorization

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

2 x 2 x 3 x 219 x 35 x 107 x 223 = 2194734780

Therefore, the lowest common multiple of 657,420,214,892 is 2194734780.

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.

657 x 420 x 214 x 892 = 52673634720

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.

657 : 1, 3, 9, 73, 219, 657

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

214 : 1, 2, 107, 214

892 : 1, 2, 4, 223, 446, 892

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,420,214,892, is 1.

Now, the common factors can be found like this.

657:3x 3x 73

420:2x 2x 3x 5x 7

214:2x 107

892:2x 2x 223

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 3 = 24

Therefore, the value for common factors is 24.

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 = 52673634720/(1x24)

LCM = 52673634720/24

LCM = 2194734780

Thus, we can understand that the LCM of 657,420,214,892 is 2194734780.

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

• LCM of 747, 353, 700, 576
• LCM of 281, 188, 806, 926
• LCM of 440, 827, 629, 940
• LCM of 700, 600, 850, 556
• LCM of 837, 288, 625, 167

1. What is the LCM of 657, 420, 214, 892?

Answer: LCM of 657, 420, 214, 892 is 2194734780.

2. How to calculate the LCM of 657, 420, 214, 892?

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 657, 420, 214, 892.

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}.