Given numbers are 676,614,146,493

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

The LCM of 676,614,146,493 is 7468869148.

Find LCM of 676,614,146,493 with Prime Factorization

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

2 x 338 x 307 x 73 x 493 = 7468869148

Therefore, the lowest common multiple of 676,614,146,493 is 7468869148.

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.

676 x 614 x 146 x 493 = 29875476592

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

614 : 1, 2, 307, 614

146 : 1, 2, 73, 146

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,614,146,493, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

614:2x 307

146:2x 73

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 2 = 4

Therefore, the value for common factors is 4.

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 = 29875476592/(1x4)

LCM = 29875476592/4

LCM = 7468869148

Thus, we can understand that the LCM of 676,614,146,493 is 7468869148.

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

• LCM of 959, 565, 921, 423
• LCM of 753, 617, 837, 719
• LCM of 147, 785, 339, 917
• LCM of 348, 562, 546, 308
• LCM of 442, 142, 624, 690

1. What is the LCM of 676, 614, 146, 493?

Answer: LCM of 676, 614, 146, 493 is 7468869148.

2. How to calculate the LCM of 676, 614, 146, 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 676, 614, 146, 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}.