Given numbers are 732,305,663,343,407

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

The LCM of 732,305,663,343,407 is 112917664860.

Find LCM of 732,305,663,343,407 with Prime Factorization

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

3 x 61 x 4 x 5 x 221 x 343 x 407 = 112917664860

Therefore, the lowest common multiple of 732,305,663,343,407 is 112917664860.

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.

732 x 305 x 663 x 343 x 407 = 20663932669380

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.

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

305 : 1, 5, 61, 305

663 : 1, 3, 13, 17, 39, 51, 221, 663

343 : 1, 7, 49, 343

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,305,663,343,407, is 1.

Now, the common factors can be found like this.

732:2x 2x 3x 61

305:5x 61

663:3x 13x 17

343:7x 7x 7

407:11x 37

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

3x 61 = 183

Therefore, the value for common factors is 183.

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 = 20663932669380/(1x183)

LCM = 20663932669380/183

LCM = 112917664860

Thus, we can understand that the LCM of 732,305,663,343,407 is 112917664860.

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

• LCM of 805, 870, 362, 114, 619
• LCM of 661, 106, 114, 605, 808
• LCM of 942, 601, 117, 309, 607
• LCM of 613, 185, 109, 139, 840
• LCM of 957, 681, 370, 919, 938

1. What is the LCM of 732, 305, 663, 343, 407?

Answer: LCM of 732, 305, 663, 343, 407 is 112917664860.

2. How to calculate the LCM of 732, 305, 663, 343, 407?

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 732, 305, 663, 343, 407.

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}.