Given numbers are 138,764,180,210,114

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

The LCM of 138,764,180,210,114 is 105168420.

Find LCM of 138,764,180,210,114 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 191 x 3 x 7 x 19 = 105168420

Therefore, the lowest common multiple of 138,764,180,210,114 is 105168420.

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.

138 x 764 x 180 x 210 x 114 = 454327574400

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.

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

764 : 1, 2, 4, 191, 382, 764

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

114 : 1, 2, 3, 6, 19, 38, 57, 114

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,764,180,210,114, is 2.

Now, the common factors can be found like this.

138:2x 3x 23

764:2x 2x 191

180:2x 2x 3x 3x 5

210:2x 3x 5x 7

114:2x 3x 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 2x 3x 3x 3x 5 = 2160

Therefore, the value for common factors is 2160.

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 = 454327574400/(2x2160)

LCM = 454327574400/4320

LCM = 105168420

Thus, we can understand that the LCM of 138,764,180,210,114 is 105168420.

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

• LCM of 419, 909, 118, 358, 935
• LCM of 266, 523, 850, 799, 283
• LCM of 991, 217, 321, 554, 217
• LCM of 120, 735, 712, 981, 782
• LCM of 928, 500, 277, 168, 443

1. What is the LCM of 138, 764, 180, 210, 114?

Answer: LCM of 138, 764, 180, 210, 114 is 105168420.

2. How to calculate the LCM of 138, 764, 180, 210, 114?

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 138, 764, 180, 210, 114.

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}.