Given numbers are 138,588,493,168,354

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

The LCM of 138,588,493,168,354 is 786745176.

Find LCM of 138,588,493,168,354 with Prime Factorization

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

2 x 2 x 3 x 7 x 23 x 7 x 493 x 2 x 59 = 786745176

Therefore, the lowest common multiple of 138,588,493,168,354 is 786745176.

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 588 x 493 x 168 x 354 = 2379117412224

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

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

493 : 1, 17, 29, 493

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,588,493,168,354, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

588:2x 2x 3x 7x 7

493:17x 29

168:2x 2x 2x 3x 7

354:2x 3x 59

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 7 = 3024

Therefore, the value for common factors is 3024.

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 = 2379117412224/(1x3024)

LCM = 2379117412224/3024

LCM = 786745176

Thus, we can understand that the LCM of 138,588,493,168,354 is 786745176.

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

• LCM of 231, 882, 473, 695, 781
• LCM of 434, 994, 278, 703, 325
• LCM of 342, 334, 606, 140, 760
• LCM of 346, 180, 973, 200, 354
• LCM of 852, 262, 904, 851, 225

1. What is the LCM of 138, 588, 493, 168, 354?

Answer: LCM of 138, 588, 493, 168, 354 is 786745176.

2. How to calculate the LCM of 138, 588, 493, 168, 354?

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, 588, 493, 168, 354.

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}.