Given numbers are 238,436,703,678,198

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

The LCM of 238,436,703,678,198 is 408039694524.

Find LCM of 238,436,703,678,198 with Prime Factorization

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

2 x 3 x 119 x 218 x 703 x 113 x 33 = 408039694524

Therefore, the lowest common multiple of 238,436,703,678,198 is 408039694524.

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.

238 x 436 x 703 x 678 x 198 = 9792952668576

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.

238 : 1, 2, 7, 14, 17, 34, 119, 238

436 : 1, 2, 4, 109, 218, 436

703 : 1, 19, 37, 703

678 : 1, 2, 3, 6, 113, 226, 339, 678

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 238,436,703,678,198, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

436:2x 2x 109

703:19x 37

678:2x 3x 113

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 3 = 24

Therefore, the value for common factors is 24.

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 = 9792952668576/(1x24)

LCM = 9792952668576/24

LCM = 408039694524

Thus, we can understand that the LCM of 238,436,703,678,198 is 408039694524.

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

• LCM of 322, 942, 351, 914, 105
• LCM of 553, 953, 493, 600, 812
• LCM of 989, 800, 300, 881, 185
• LCM of 563, 529, 790, 907, 567
• LCM of 216, 625, 144, 451, 749

1. What is the LCM of 238, 436, 703, 678, 198?

Answer: LCM of 238, 436, 703, 678, 198 is 408039694524.

2. How to calculate the LCM of 238, 436, 703, 678, 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 238, 436, 703, 678, 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}.