Find the LCM of 348, 435, 261, 900, 188 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 348, 435, 261, 900, 188. So, keep reading to learn more.
Given numbers are 348,435,261,900,188
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,435,261,900,188 is 1226700.
Find LCM of 348,435,261,900,188 with Prime Factorization
2 | 348, 435, 261, 900, 188 |
2 | 174, 435, 261, 450, 94 |
3 | 87, 435, 261, 225, 47 |
3 | 29, 145, 87, 75, 47 |
5 | 29, 145, 29, 25, 47 |
29 | 29, 29, 29, 5, 47 |
1, 1, 1, 5, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 29 x 1 x 1 x 1 x 5 x 47 = 1226700
Therefore, the lowest common multiple of 348,435,261,900,188 is 1226700.
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.
348 x 435 x 261 x 900 x 188 = 6685122456000
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.
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
435 : 1, 3, 5, 15, 29, 87, 145, 435
261 : 1, 3, 9, 29, 87, 261
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
188 : 1, 2, 4, 47, 94, 188
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,435,261,900,188, is 1.
Now, the common factors can be found like this.
348:2x 2x 3x 29
435:3x 5x 29
261:3x 3x 29
900:2x 2x 3x 3x 5x 5
188:2x 2x 47
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 3x 3x 3x 3x 5x 29x 29 = 5449680
Therefore, the value for common factors is 5449680.
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 = 6685122456000/(1x5449680)
LCM = 6685122456000/5449680
LCM = 1226700
Thus, we can understand that the LCM of 348,435,261,900,188 is 1226700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 348, 435, 261, 900, 188?
Answer: LCM of 348, 435, 261, 900, 188 is 1226700.
2. How to calculate the LCM of 348, 435, 261, 900, 188?
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 348, 435, 261, 900, 188.
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}.