Given numbers are 138,177,366,507,508

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

The LCM of 138,177,366,507,508 is 21319713012.

Find LCM of 138,177,366,507,508 with Prime Factorization

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

2 x 3 x 23 x 59 x 61 x 169 x 254 = 21319713012

Therefore, the lowest common multiple of 138,177,366,507,508 is 21319713012.

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 177 x 366 x 507 x 508 = 2302529005296

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

177 : 1, 3, 59, 177

366 : 1, 2, 3, 6, 61, 122, 183, 366

507 : 1, 3, 13, 39, 169, 507

508 : 1, 2, 4, 127, 254, 508

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,177,366,507,508, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

177:3x 59

366:2x 3x 61

507:3x 13x 13

508:2x 2x 127

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 2302529005296/(1x108)

LCM = 2302529005296/108

LCM = 21319713012

Thus, we can understand that the LCM of 138,177,366,507,508 is 21319713012.

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

• LCM of 163, 247, 569, 529, 732
• LCM of 488, 453, 382, 725, 867
• LCM of 913, 487, 566, 604, 518
• LCM of 450, 785, 607, 411, 981
• LCM of 844, 445, 951, 833, 703

1. What is the LCM of 138, 177, 366, 507, 508?

Answer: LCM of 138, 177, 366, 507, 508 is 21319713012.

2. How to calculate the LCM of 138, 177, 366, 507, 508?

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, 177, 366, 507, 508.

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}.