Given numbers are 420,412,364,698

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

The LCM of 420,412,364,698 is 196270620.

Find LCM of 420,412,364,698 with Prime Factorization

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

2 x 2 x 7 x 15 x 103 x 13 x 349 = 196270620

Therefore, the lowest common multiple of 420,412,364,698 is 196270620.

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.

420 x 412 x 364 x 698 = 43964618880

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.

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

412 : 1, 2, 4, 103, 206, 412

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

698 : 1, 2, 349, 698

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,412,364,698, is 2.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

412:2x 2x 103

364:2x 2x 7x 13

698:2x 349

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 7 = 112

Therefore, the value for common factors is 112.

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 = 43964618880/(2x112)

LCM = 43964618880/224

LCM = 196270620

Thus, we can understand that the LCM of 420,412,364,698 is 196270620.

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

• LCM of 411, 173, 331, 271
• LCM of 780, 150, 312, 805
• LCM of 871, 168, 667, 269
• LCM of 202, 472, 148, 388
• LCM of 657, 604, 890, 523

1. What is the LCM of 420, 412, 364, 698?

Answer: LCM of 420, 412, 364, 698 is 196270620.

2. How to calculate the LCM of 420, 412, 364, 698?

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 420, 412, 364, 698.

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}.