Given numbers are 239,335,468,936

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

The LCM of 239,335,468,936 is 74940840.

Find LCM of 239,335,468,936 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 239 x 335 x 1 x 2 = 74940840

Therefore, the lowest common multiple of 239,335,468,936 is 74940840.

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 335 x 468 x 936 = 35072313120

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

335 : 1, 5, 67, 335

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,335,468,936, is 1.

Now, the common factors can be found like this.

239:239

335:5x 67

468:2x 2x 3x 3x 13

936:2x 2x 2x 3x 3x 13

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 13 = 468

Therefore, the value for common factors is 468.

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 = 35072313120/(1x468)

LCM = 35072313120/468

LCM = 74940840

Thus, we can understand that the LCM of 239,335,468,936 is 74940840.

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

• LCM of 684, 405, 142, 322
• LCM of 937, 756, 908, 259
• LCM of 969, 611, 713, 687
• LCM of 401, 263, 473, 816
• LCM of 133, 937, 144, 441

1. What is the LCM of 239, 335, 468, 936?

Answer: LCM of 239, 335, 468, 936 is 74940840.

2. How to calculate the LCM of 239, 335, 468, 936?

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, 335, 468, 936.

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}.