Given numbers are 138,143,167,682

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

The LCM of 138,143,167,682 is 102162918.

Find LCM of 138,143,167,682 with Prime Factorization

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

2 x 11 x 69 x 13 x 167 x 31 = 102162918

Therefore, the lowest common multiple of 138,143,167,682 is 102162918.

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 143 x 167 x 682 = 2247584196

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

143 : 1, 11, 13, 143

167 : 1, 167

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,143,167,682, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

143:11x 13

167:167

682:2x 11x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 2247584196/(1x22)

LCM = 2247584196/22

LCM = 102162918

Thus, we can understand that the LCM of 138,143,167,682 is 102162918.

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

• LCM of 506, 614, 909, 831
• LCM of 231, 196, 686, 804
• LCM of 769, 730, 311, 636
• LCM of 459, 919, 321, 308
• LCM of 709, 605, 889, 299

1. What is the LCM of 138, 143, 167, 682?

Answer: LCM of 138, 143, 167, 682 is 102162918.

2. How to calculate the LCM of 138, 143, 167, 682?

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, 143, 167, 682.

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}.