Given numbers are 628,214,274,408,961

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

The LCM of 628,214,274,408,961 is 902376024744.

Find LCM of 628,214,274,408,961 with Prime Factorization

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

2 x 2 x 157 x 107 x 137 x 102 x 961 = 902376024744

Therefore, the lowest common multiple of 628,214,274,408,961 is 902376024744.

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.

628 x 214 x 274 x 408 x 961 = 14438016395904

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.

628 : 1, 2, 4, 157, 314, 628

214 : 1, 2, 107, 214

274 : 1, 2, 137, 274

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,214,274,408,961, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

214:2x 107

274:2x 137

408:2x 2x 2x 3x 17

961:31x 31

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 2 = 16

Therefore, the value for common factors is 16.

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 = 14438016395904/(1x16)

LCM = 14438016395904/16

LCM = 902376024744

Thus, we can understand that the LCM of 628,214,274,408,961 is 902376024744.

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

• LCM of 102, 767, 843, 361, 899
• LCM of 423, 902, 731, 156, 157
• LCM of 551, 884, 988, 858, 190
• LCM of 347, 957, 979, 842, 165
• LCM of 929, 448, 665, 250, 216

1. What is the LCM of 628, 214, 274, 408, 961?

Answer: LCM of 628, 214, 274, 408, 961 is 902376024744.

2. How to calculate the LCM of 628, 214, 274, 408, 961?

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 628, 214, 274, 408, 961.

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}.