Given numbers are 138,444,828,696,279

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

The LCM of 138,444,828,696,279 is 55083528.

Find LCM of 138,444,828,696,279 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 1 x 37 x 1 x 58 x 31 = 55083528

Therefore, the lowest common multiple of 138,444,828,696,279 is 55083528.

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 444 x 828 x 696 x 279 = 9851578815744

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

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

279 : 1, 3, 9, 31, 93, 279

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,444,828,696,279, is 3.

Now, the common factors can be found like this.

138:2x 3x 23

444:2x 2x 3x 37

828:2x 2x 3x 3x 23

696:2x 2x 2x 3x 29

279:3x 3x 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 2x 2x 2x 2x 3x 3x 3x 3x 23 = 59616

Therefore, the value for common factors is 59616.

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 = 9851578815744/(3x59616)

LCM = 9851578815744/178848

LCM = 55083528

Thus, we can understand that the LCM of 138,444,828,696,279 is 55083528.

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

• LCM of 952, 609, 950, 929, 855
• LCM of 755, 414, 483, 585, 334
• LCM of 161, 755, 580, 793, 500
• LCM of 620, 521, 835, 673, 314
• LCM of 603, 661, 892, 664, 429

1. What is the LCM of 138, 444, 828, 696, 279?

Answer: LCM of 138, 444, 828, 696, 279 is 55083528.

2. How to calculate the LCM of 138, 444, 828, 696, 279?

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, 444, 828, 696, 279.

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}.