Given numbers are 112,460,644,136,701

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

The LCM of 112,460,644,136,701 is 153490960.

Find LCM of 112,460,644,136,701 with Prime Factorization

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

2 x 2 x 2 x 7 x 23 x 2 x 5 x 1 x 17 x 701 = 153490960

Therefore, the lowest common multiple of 112,460,644,136,701 is 153490960.

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.

112 x 460 x 644 x 136 x 701 = 3163141703680

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.

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,460,644,136,701, is 1.

Now, the common factors can be found like this.

112:2x 2x 2x 2x 7

460:2x 2x 5x 23

644:2x 2x 7x 23

136:2x 2x 2x 17

701:701

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 2x 2x 2x 7x 23 = 20608

Therefore, the value for common factors is 20608.

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 = 3163141703680/(1x20608)

LCM = 3163141703680/20608

LCM = 153490960

Thus, we can understand that the LCM of 112,460,644,136,701 is 153490960.

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

• LCM of 338, 252, 414, 617, 717
• LCM of 141, 341, 300, 685, 904
• LCM of 572, 562, 995, 677, 751
• LCM of 478, 621, 969, 305, 900
• LCM of 354, 335, 527, 443, 192

1. What is the LCM of 112, 460, 644, 136, 701?

Answer: LCM of 112, 460, 644, 136, 701 is 153490960.

2. How to calculate the LCM of 112, 460, 644, 136, 701?

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 112, 460, 644, 136, 701.

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}.