Find the LCM of 368, 286, 968, 936 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 368, 286, 968, 936. So, keep reading to learn more.
Given numbers are 368,286,968,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,286,968,936 is 5209776.
Find LCM of 368,286,968,936 with Prime Factorization
2 | 368, 286, 968, 936 |
2 | 184, 143, 484, 468 |
2 | 92, 143, 242, 234 |
11 | 46, 143, 121, 117 |
13 | 46, 13, 11, 117 |
46, 1, 11, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 13 x 46 x 1 x 11 x 9 = 5209776
Therefore, the lowest common multiple of 368,286,968,936 is 5209776.
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.
368 x 286 x 968 x 936 = 95359739904
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
286 : 1, 2, 11, 13, 22, 26, 143, 286
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,286,968,936, is 2.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
286:2x 11x 13
968:2x 2x 2x 11x 11
936:2x 2x 2x 3x 3x 13
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 11x 13 = 9152
Therefore, the value for common factors is 9152.
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 = 95359739904/(2x9152)
LCM = 95359739904/18304
LCM = 5209776
Thus, we can understand that the LCM of 368,286,968,936 is 5209776.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 368, 286, 968, 936?
Answer: LCM of 368, 286, 968, 936 is 5209776.
2. How to calculate the LCM of 368, 286, 968, 936?
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 368, 286, 968, 936.
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}.