Find the LCM of 168, 382, 500, 378 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 168, 382, 500, 378. So, keep reading to learn more.
Given numbers are 168,382,500,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,382,500,378 is 36099000.
Find LCM of 168,382,500,378 with Prime Factorization
2 | 168, 382, 500, 378 |
2 | 84, 191, 250, 189 |
3 | 42, 191, 125, 189 |
7 | 14, 191, 125, 63 |
2, 191, 125, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 2 x 191 x 125 x 9 = 36099000
Therefore, the lowest common multiple of 168,382,500,378 is 36099000.
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.
168 x 382 x 500 x 378 = 12129264000
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.
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
382 : 1, 2, 191, 382
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,382,500,378, is 2.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
382:2x 191
500:2x 2x 5x 5x 5
378:2x 3x 3x 3x 7
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 3x 7 = 168
Therefore, the value for common factors is 168.
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 = 12129264000/(2x168)
LCM = 12129264000/336
LCM = 36099000
Thus, we can understand that the LCM of 168,382,500,378 is 36099000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 168, 382, 500, 378?
Answer: LCM of 168, 382, 500, 378 is 36099000.
2. How to calculate the LCM of 168, 382, 500, 378?
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 168, 382, 500, 378.
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}.