Given numbers are 106,970,272,204,734

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

The LCM of 106,970,272,204,734 is 7697927760.

Find LCM of 106,970,272,204,734 with Prime Factorization

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

2 x 2 x 17 x 53 x 485 x 4 x 3 x 367 = 7697927760

Therefore, the lowest common multiple of 106,970,272,204,734 is 7697927760.

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.

106 x 970 x 272 x 204 x 734 = 4187672701440

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.

106 : 1, 2, 53, 106

970 : 1, 2, 5, 10, 97, 194, 485, 970

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

734 : 1, 2, 367, 734

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,970,272,204,734, is 2.

Now, the common factors can be found like this.

106:2x 53

970:2x 5x 97

272:2x 2x 2x 2x 17

204:2x 2x 3x 17

734:2x 367

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 2x 2x 17 = 272

Therefore, the value for common factors is 272.

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 = 4187672701440/(2x272)

LCM = 4187672701440/544

LCM = 7697927760

Thus, we can understand that the LCM of 106,970,272,204,734 is 7697927760.

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

• LCM of 345, 500, 291, 697, 468
• LCM of 720, 176, 421, 865, 931
• LCM of 882, 998, 990, 647, 222
• LCM of 365, 604, 562, 445, 920
• LCM of 939, 336, 450, 218, 494

1. What is the LCM of 106, 970, 272, 204, 734?

Answer: LCM of 106, 970, 272, 204, 734 is 7697927760.

2. How to calculate the LCM of 106, 970, 272, 204, 734?

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 106, 970, 272, 204, 734.

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}.