Given numbers are 961,217,713,232,936

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

The LCM of 961,217,713,232,936 is 4199746824.

Find LCM of 961,217,713,232,936 with Prime Factorization

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

2 x 2 x 2 x 31 x 31 x 7 x 23 x 29 x 117 = 4199746824

Therefore, the lowest common multiple of 961,217,713,232,936 is 4199746824.

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.

961 x 217 x 713 x 232 x 936 = 32287653582912

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.

961 : 1, 31, 961

217 : 1, 7, 31, 217

713 : 1, 23, 31, 713

232 : 1, 2, 4, 8, 29, 58, 116, 232

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,217,713,232,936, is 1.

Now, the common factors can be found like this.

961:31x 31

217:7x 31

713:23x 31

232:2x 2x 2x 29

936:2x 2x 2x 3x 3x 13

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 31x 31 = 7688

Therefore, the value for common factors is 7688.

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 = 32287653582912/(1x7688)

LCM = 32287653582912/7688

LCM = 4199746824

Thus, we can understand that the LCM of 961,217,713,232,936 is 4199746824.

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

• LCM of 155, 538, 507, 165, 265
• LCM of 287, 101, 485, 863, 277
• LCM of 960, 514, 755, 980, 528
• LCM of 367, 260, 264, 820, 680
• LCM of 523, 674, 985, 954, 999

1. What is the LCM of 961, 217, 713, 232, 936?

Answer: LCM of 961, 217, 713, 232, 936 is 4199746824.

2. How to calculate the LCM of 961, 217, 713, 232, 936?

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 961, 217, 713, 232, 936.

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}.