Given numbers are 841,288,493

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

The LCM of 841,288,493 is 4117536.

Find LCM of 841,288,493 with Prime Factorization

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

29 x 29 x 288 x 17 = 4117536

Therefore, the lowest common multiple of 841,288,493 is 4117536.

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.

841 x 288 x 493 = 119408544

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.

841 : 1, 29, 841

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,288,493, is 1.

Now, the common factors can be found like this.

841:29x 29

288:2x 2x 2x 2x 2x 3x 3

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.

29 = 29

Therefore, the value for common factors is 29.

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 = 119408544/(1x29)

LCM = 119408544/29

LCM = 4117536

Thus, we can understand that the LCM of 841,288,493 is 4117536.

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

• LCM of 689, 570, 617
• LCM of 804, 561, 853
• LCM of 199, 904, 937
• LCM of 342, 760, 441
• LCM of 342, 289, 880

1. What is the LCM of 841, 288, 493?

Answer: LCM of 841, 288, 493 is 4117536.

2. How to calculate the LCM of 841, 288, 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 841, 288, 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}.