Given numbers are 336,678,962,138,722

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

The LCM of 336,678,962,138,722 is 151634434224.

Find LCM of 336,678,962,138,722 with Prime Factorization

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

2 x 3 x 56 x 113 x 481 x 23 x 361 = 151634434224

Therefore, the lowest common multiple of 336,678,962,138,722 is 151634434224.

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.

336 x 678 x 962 x 138 x 722 = 21835358528256

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.

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

678 : 1, 2, 3, 6, 113, 226, 339, 678

962 : 1, 2, 13, 26, 37, 74, 481, 962

138 : 1, 2, 3, 6, 23, 46, 69, 138

722 : 1, 2, 19, 38, 361, 722

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,678,962,138,722, is 2.

Now, the common factors can be found like this.

336:2x 2x 2x 2x 3x 7

678:2x 3x 113

962:2x 13x 37

138:2x 3x 23

722:2x 19x 19

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 21835358528256/(2x72)

LCM = 21835358528256/144

LCM = 151634434224

Thus, we can understand that the LCM of 336,678,962,138,722 is 151634434224.

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

• LCM of 822, 895, 517, 797, 526
• LCM of 854, 958, 699, 362, 260
• LCM of 658, 954, 418, 860, 580
• LCM of 743, 540, 909, 271, 691
• LCM of 922, 686, 955, 751, 637

1. What is the LCM of 336, 678, 962, 138, 722?

Answer: LCM of 336, 678, 962, 138, 722 is 151634434224.

2. How to calculate the LCM of 336, 678, 962, 138, 722?

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 336, 678, 962, 138, 722.

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}.