Given numbers are 239,126,112,334,413

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

The LCM of 239,126,112,334,413 is 2373705936.

Find LCM of 239,126,112,334,413 with Prime Factorization

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

2 x 7 x 239 x 9 x 8 x 167 x 59 = 2373705936

Therefore, the lowest common multiple of 239,126,112,334,413 is 2373705936.

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.

239 x 126 x 112 x 334 x 413 = 465246363456

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.

239 : 1, 239

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

334 : 1, 2, 167, 334

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,126,112,334,413, is 1.

Now, the common factors can be found like this.

239:239

126:2x 3x 3x 7

112:2x 2x 2x 2x 7

334:2x 167

413:7x 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 7x 7 = 196

Therefore, the value for common factors is 196.

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 = 465246363456/(1x196)

LCM = 465246363456/196

LCM = 2373705936

Thus, we can understand that the LCM of 239,126,112,334,413 is 2373705936.

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

• LCM of 367, 879, 397, 358, 663
• LCM of 337, 357, 278, 729, 765
• LCM of 487, 147, 570, 730, 284
• LCM of 274, 324, 356, 517, 167
• LCM of 375, 416, 675, 132, 774

1. What is the LCM of 239, 126, 112, 334, 413?

Answer: LCM of 239, 126, 112, 334, 413 is 2373705936.

2. How to calculate the LCM of 239, 126, 112, 334, 413?

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 239, 126, 112, 334, 413.

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}.