Find the LCM of 232, 744, 340, 336, 163 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, 744, 340, 336, 163. So, keep reading to learn more.
Given numbers are 232,744,340,336,163
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,744,340,336,163 is 4185096720.
Find LCM of 232,744,340,336,163 with Prime Factorization
2 | 232, 744, 340, 336, 163 |
2 | 116, 372, 170, 168, 163 |
2 | 58, 186, 85, 84, 163 |
3 | 29, 93, 85, 42, 163 |
29, 31, 85, 14, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 31 x 85 x 14 x 163 = 4185096720
Therefore, the lowest common multiple of 232,744,340,336,163 is 4185096720.
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 744 x 340 x 336 x 163 = 3214154280960
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
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
163 : 1, 163
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,744,340,336,163, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
744:2x 2x 2x 3x 31
340:2x 2x 5x 17
336:2x 2x 2x 2x 3x 7
163:163
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 2x 2x 2x 3 = 768
Therefore, the value for common factors is 768.
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 = 3214154280960/(1x768)
LCM = 3214154280960/768
LCM = 4185096720
Thus, we can understand that the LCM of 232,744,340,336,163 is 4185096720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 232, 744, 340, 336, 163?
Answer: LCM of 232, 744, 340, 336, 163 is 4185096720.
2. How to calculate the LCM of 232, 744, 340, 336, 163?
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, 744, 340, 336, 163.
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}.