Given numbers are 493,638,266,706

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

The LCM of 493,638,266,706 is 509208854.

Find LCM of 493,638,266,706 with Prime Factorization

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

2 x 29 x 17 x 11 x 133 x 353 = 509208854

Therefore, the lowest common multiple of 493,638,266,706 is 509208854.

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 638 x 266 x 706 = 59068227064

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

638 : 1, 2, 11, 22, 29, 58, 319, 638

266 : 1, 2, 7, 14, 19, 38, 133, 266

706 : 1, 2, 353, 706

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,638,266,706, is 1.

Now, the common factors can be found like this.

493:17x 29

638:2x 11x 29

266:2x 7x 19

706:2x 353

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 29 = 116

Therefore, the value for common factors is 116.

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 = 59068227064/(1x116)

LCM = 59068227064/116

LCM = 509208854

Thus, we can understand that the LCM of 493,638,266,706 is 509208854.

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

• LCM of 598, 809, 457, 344
• LCM of 340, 402, 402, 545
• LCM of 643, 158, 696, 971
• LCM of 621, 317, 494, 869
• LCM of 561, 665, 303, 209

1. What is the LCM of 493, 638, 266, 706?

Answer: LCM of 493, 638, 266, 706 is 509208854.

2. How to calculate the LCM of 493, 638, 266, 706?

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, 638, 266, 706.

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}.