Find the LCM of 235, 960, 921, 594, 141 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 235, 960, 921, 594, 141. So, keep reading to learn more.
Given numbers are 235,960,921,594,141
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 235,960,921,594,141 is 1371332160.
Find LCM of 235,960,921,594,141 with Prime Factorization
2 | 235, 960, 921, 594, 141 |
3 | 235, 480, 921, 297, 141 |
5 | 235, 160, 307, 99, 47 |
47 | 47, 32, 307, 99, 47 |
1, 32, 307, 99, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 47 x 1 x 32 x 307 x 99 x 1 = 1371332160
Therefore, the lowest common multiple of 235,960,921,594,141 is 1371332160.
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.
235 x 960 x 921 x 594 x 141 = 17402205110400
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.
235 : 1, 5, 47, 235
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
921 : 1, 3, 307, 921
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
141 : 1, 3, 47, 141
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,960,921,594,141, is 1.
Now, the common factors can be found like this.
235:5x 47
960:2x 2x 2x 2x 2x 2x 3x 5
921:3x 307
594:2x 3x 3x 3x 11
141:3x 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 3x 3x 3x 5x 47 = 12690
Therefore, the value for common factors is 12690.
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 = 17402205110400/(1x12690)
LCM = 17402205110400/12690
LCM = 1371332160
Thus, we can understand that the LCM of 235,960,921,594,141 is 1371332160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 235, 960, 921, 594, 141?
Answer: LCM of 235, 960, 921, 594, 141 is 1371332160.
2. How to calculate the LCM of 235, 960, 921, 594, 141?
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 235, 960, 921, 594, 141.
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}.