Find the LCM of 232, 368, 165, 966, 478 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 232, 368, 165, 966, 478. So, keep reading to learn more.
Given numbers are 232,368,165,966,478
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,368,165,966,478 is 2945952240.
Find LCM of 232,368,165,966,478 with Prime Factorization
2 | 232, 368, 165, 966, 478 |
2 | 116, 184, 165, 483, 239 |
2 | 58, 92, 165, 483, 239 |
3 | 29, 46, 165, 483, 239 |
23 | 29, 46, 55, 161, 239 |
29, 2, 55, 7, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 29 x 2 x 55 x 7 x 239 = 2945952240
Therefore, the lowest common multiple of 232,368,165,966,478 is 2945952240.
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.
232 x 368 x 165 x 966 x 478 = 6504662545920
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
165 : 1, 3, 5, 11, 15, 33, 55, 165
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
478 : 1, 2, 239, 478
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,368,165,966,478, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
368:2x 2x 2x 2x 23
165:3x 5x 11
966:2x 3x 7x 23
478:2x 239
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 23 = 2208
Therefore, the value for common factors is 2208.
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 = 6504662545920/(1x2208)
LCM = 6504662545920/2208
LCM = 2945952240
Thus, we can understand that the LCM of 232,368,165,966,478 is 2945952240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 232, 368, 165, 966, 478?
Answer: LCM of 232, 368, 165, 966, 478 is 2945952240.
2. How to calculate the LCM of 232, 368, 165, 966, 478?
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 232, 368, 165, 966, 478.
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}.