Given numbers are 749,327,305,218,872

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

The LCM of 749,327,305,218,872 is 597612120.

Find LCM of 749,327,305,218,872 with Prime Factorization

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

2 x 109 x 749 x 3 x 305 x 1 x 4 = 597612120

Therefore, the lowest common multiple of 749,327,305,218,872 is 597612120.

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.

749 x 327 x 305 x 218 x 872 = 14200459195440

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.

749 : 1, 7, 107, 749

327 : 1, 3, 109, 327

305 : 1, 5, 61, 305

218 : 1, 2, 109, 218

872 : 1, 2, 4, 8, 109, 218, 436, 872

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,327,305,218,872, is 1.

Now, the common factors can be found like this.

749:7x 107

327:3x 109

305:5x 61

218:2x 109

872:2x 2x 2x 109

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 109x 109 = 23762

Therefore, the value for common factors is 23762.

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 = 14200459195440/(1x23762)

LCM = 14200459195440/23762

LCM = 597612120

Thus, we can understand that the LCM of 749,327,305,218,872 is 597612120.

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

• LCM of 902, 338, 569, 629, 367
• LCM of 651, 464, 665, 691, 494
• LCM of 109, 778, 358, 474, 716
• LCM of 693, 964, 386, 933, 441
• LCM of 301, 629, 622, 142, 458

1. What is the LCM of 749, 327, 305, 218, 872?

Answer: LCM of 749, 327, 305, 218, 872 is 597612120.

2. How to calculate the LCM of 749, 327, 305, 218, 872?

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 749, 327, 305, 218, 872.

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}.