Given numbers are 137,372,214,108

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

The LCM of 137,372,214,108 is 49078332.

Find LCM of 137,372,214,108 with Prime Factorization

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

2 x 2 x 3 x 137 x 31 x 107 x 9 = 49078332

Therefore, the lowest common multiple of 137,372,214,108 is 49078332.

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.

137 x 372 x 214 x 108 = 1177879968

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.

137 : 1, 137

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

214 : 1, 2, 107, 214

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,372,214,108, is 1.

Now, the common factors can be found like this.

137:137

372:2x 2x 3x 31

214:2x 107

108:2x 2x 3x 3x 3

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 3 = 24

Therefore, the value for common factors is 24.

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 = 1177879968/(1x24)

LCM = 1177879968/24

LCM = 49078332

Thus, we can understand that the LCM of 137,372,214,108 is 49078332.

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

• LCM of 241, 226, 786, 820
• LCM of 562, 264, 579, 116
• LCM of 640, 893, 500, 606
• LCM of 111, 850, 776, 689
• LCM of 937, 475, 815, 738

1. What is the LCM of 137, 372, 214, 108?

Answer: LCM of 137, 372, 214, 108 is 49078332.

2. How to calculate the LCM of 137, 372, 214, 108?

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 137, 372, 214, 108.

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}.