Given numbers are 493,452,226,438

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

The LCM of 493,452,226,438 is 48801084.

Find LCM of 493,452,226,438 with Prime Factorization

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

2 x 113 x 493 x 2 x 1 x 219 = 48801084

Therefore, the lowest common multiple of 493,452,226,438 is 48801084.

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.

493 x 452 x 226 x 438 = 22058089968

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.

493 : 1, 17, 29, 493

452 : 1, 2, 4, 113, 226, 452

226 : 1, 2, 113, 226

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,452,226,438, is 1.

Now, the common factors can be found like this.

493:17x 29

452:2x 2x 113

226:2x 113

438:2x 3x 73

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 113 = 452

Therefore, the value for common factors is 452.

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 = 22058089968/(1x452)

LCM = 22058089968/452

LCM = 48801084

Thus, we can understand that the LCM of 493,452,226,438 is 48801084.

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

• LCM of 648, 265, 446, 669
• LCM of 440, 330, 604, 310
• LCM of 725, 609, 678, 698
• LCM of 789, 414, 655, 341
• LCM of 235, 665, 649, 483

1. What is the LCM of 493, 452, 226, 438?

Answer: LCM of 493, 452, 226, 438 is 48801084.

2. How to calculate the LCM of 493, 452, 226, 438?

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 493, 452, 226, 438.

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}.