Find the LCM of 184, 807, 646, 144, 342 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 184, 807, 646, 144, 342. So, keep reading to learn more.
Given numbers are 184,807,646,144,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 184,807,646,144,342 is 287769744.
Find LCM of 184,807,646,144,342 with Prime Factorization
2 | 184, 807, 646, 144, 342 |
2 | 92, 807, 323, 72, 171 |
2 | 46, 807, 323, 36, 171 |
3 | 23, 807, 323, 18, 171 |
3 | 23, 269, 323, 6, 57 |
19 | 23, 269, 323, 2, 19 |
23, 269, 17, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 19 x 23 x 269 x 17 x 2 x 1 = 287769744
Therefore, the lowest common multiple of 184,807,646,144,342 is 287769744.
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.
184 x 807 x 646 x 144 x 342 = 4724028117504
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.
184 : 1, 2, 4, 8, 23, 46, 92, 184
807 : 1, 3, 269, 807
646 : 1, 2, 17, 19, 34, 38, 323, 646
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,807,646,144,342, is 1.
Now, the common factors can be found like this.
184:2x 2x 2x 23
807:3x 269
646:2x 17x 19
144:2x 2x 2x 2x 3x 3
342:2x 3x 3x 19
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 3x 19 = 16416
Therefore, the value for common factors is 16416.
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 = 4724028117504/(1x16416)
LCM = 4724028117504/16416
LCM = 287769744
Thus, we can understand that the LCM of 184,807,646,144,342 is 287769744.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 184, 807, 646, 144, 342?
Answer: LCM of 184, 807, 646, 144, 342 is 287769744.
2. How to calculate the LCM of 184, 807, 646, 144, 342?
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 184, 807, 646, 144, 342.
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}.