Given numbers are 432,868,956,239,198

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

The LCM of 432,868,956,239,198 is 246452976.

Find LCM of 432,868,956,239,198 with Prime Factorization

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

2 x 2 x 3 x 3 x 239 x 12 x 217 x 1 x 1 x 11 = 246452976

Therefore, the lowest common multiple of 432,868,956,239,198 is 246452976.

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.

432 x 868 x 956 x 239 x 198 = 16963851244032

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.

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

956 : 1, 2, 4, 239, 478, 956

239 : 1, 239

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,868,956,239,198, is 1.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

868:2x 2x 7x 31

956:2x 2x 239

239:239

198:2x 3x 3x 11

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 239 = 68832

Therefore, the value for common factors is 68832.

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 = 16963851244032/(1x68832)

LCM = 16963851244032/68832

LCM = 246452976

Thus, we can understand that the LCM of 432,868,956,239,198 is 246452976.

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

• LCM of 419, 285, 367, 140, 699
• LCM of 954, 721, 421, 534, 381
• LCM of 698, 843, 474, 242, 372
• LCM of 432, 880, 620, 661, 864
• LCM of 710, 196, 245, 453, 322

1. What is the LCM of 432, 868, 956, 239, 198?

Answer: LCM of 432, 868, 956, 239, 198 is 246452976.

2. How to calculate the LCM of 432, 868, 956, 239, 198?

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 432, 868, 956, 239, 198.

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}.