Given numbers are 424,268,420,493

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

The LCM of 424,268,420,493 is 1470540120.

Find LCM of 424,268,420,493 with Prime Factorization

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

2 x 2 x 106 x 67 x 105 x 493 = 1470540120

Therefore, the lowest common multiple of 424,268,420,493 is 1470540120.

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.

424 x 268 x 420 x 493 = 23528641920

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

268 : 1, 2, 4, 67, 134, 268

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

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,268,420,493, is 1.

Now, the common factors can be found like this.

424:2x 2x 2x 53

268:2x 2x 67

420:2x 2x 3x 5x 7

493:17x 29

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 2 = 16

Therefore, the value for common factors is 16.

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 = 23528641920/(1x16)

LCM = 23528641920/16

LCM = 1470540120

Thus, we can understand that the LCM of 424,268,420,493 is 1470540120.

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

• LCM of 406, 493, 800, 726
• LCM of 661, 404, 410, 143
• LCM of 726, 893, 645, 535
• LCM of 418, 120, 836, 686
• LCM of 780, 924, 136, 223

1. What is the LCM of 424, 268, 420, 493?

Answer: LCM of 424, 268, 420, 493 is 1470540120.

2. How to calculate the LCM of 424, 268, 420, 493?

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 424, 268, 420, 493.

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}.