Find the LCM of 914, 195, 272, 392, 210 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 914, 195, 272, 392, 210. So, keep reading to learn more.
Given numbers are 914,195,272,392,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,195,272,392,210 is 1187724720.
Find LCM of 914,195,272,392,210 with Prime Factorization
2 | 914, 195, 272, 392, 210 |
2 | 457, 195, 136, 196, 105 |
2 | 457, 195, 68, 98, 105 |
3 | 457, 195, 34, 49, 105 |
5 | 457, 65, 34, 49, 35 |
7 | 457, 13, 34, 49, 7 |
457, 13, 34, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 457 x 13 x 34 x 1 x 7 = 1187724720
Therefore, the lowest common multiple of 914,195,272,392,210 is 1187724720.
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.
914 x 195 x 272 x 392 x 210 = 3990755059200
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.
914 : 1, 2, 457, 914
195 : 1, 3, 5, 13, 15, 39, 65, 195
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,195,272,392,210, is 1.
Now, the common factors can be found like this.
914:2x 457
195:3x 5x 13
272:2x 2x 2x 2x 17
392:2x 2x 2x 7x 7
210:2x 3x 5x 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 2x 2x 3x 5x 7 = 3360
Therefore, the value for common factors is 3360.
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 = 3990755059200/(1x3360)
LCM = 3990755059200/3360
LCM = 1187724720
Thus, we can understand that the LCM of 914,195,272,392,210 is 1187724720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 914, 195, 272, 392, 210?
Answer: LCM of 914, 195, 272, 392, 210 is 1187724720.
2. How to calculate the LCM of 914, 195, 272, 392, 210?
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 914, 195, 272, 392, 210.
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}.