Given numbers are 407,115,988,138

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

The LCM of 407,115,988,138 is 138730020.

Find LCM of 407,115,988,138 with Prime Factorization

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

2 x 23 x 407 x 5 x 494 x 3 = 138730020

Therefore, the lowest common multiple of 407,115,988,138 is 138730020.

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.

407 x 115 x 988 x 138 = 6381580920

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.

407 : 1, 11, 37, 407

115 : 1, 5, 23, 115

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,115,988,138, is 1.

Now, the common factors can be found like this.

407:11x 37

115:5x 23

988:2x 2x 13x 19

138:2x 3x 23

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 6381580920/(1x46)

LCM = 6381580920/46

LCM = 138730020

Thus, we can understand that the LCM of 407,115,988,138 is 138730020.

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

• LCM of 881, 367, 616, 336
• LCM of 397, 267, 692, 765
• LCM of 967, 650, 948, 786
• LCM of 105, 682, 979, 896
• LCM of 577, 907, 237, 767

1. What is the LCM of 407, 115, 988, 138?

Answer: LCM of 407, 115, 988, 138 is 138730020.

2. How to calculate the LCM of 407, 115, 988, 138?

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 407, 115, 988, 138.

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}.