Find the LCM of 301, 578, 952, 293, 196 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 301, 578, 952, 293, 196. So, keep reading to learn more.
Given numbers are 301,578,952,293,196
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 301,578,952,293,196 is 1427315512.
Find LCM of 301,578,952,293,196 with Prime Factorization
2 | 301, 578, 952, 293, 196 |
2 | 301, 289, 476, 293, 98 |
7 | 301, 289, 238, 293, 49 |
17 | 43, 289, 34, 293, 7 |
43, 17, 2, 293, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 17 x 43 x 17 x 2 x 293 x 7 = 1427315512
Therefore, the lowest common multiple of 301,578,952,293,196 is 1427315512.
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.
301 x 578 x 952 x 293 x 196 = 9511630571968
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.
301 : 1, 7, 43, 301
578 : 1, 2, 17, 34, 289, 578
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
293 : 1, 293
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,578,952,293,196, is 1.
Now, the common factors can be found like this.
301:7x 43
578:2x 17x 17
952:2x 2x 2x 7x 17
293:293
196:2x 2x 7x 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 7x 7x 17 = 6664
Therefore, the value for common factors is 6664.
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 = 9511630571968/(1x6664)
LCM = 9511630571968/6664
LCM = 1427315512
Thus, we can understand that the LCM of 301,578,952,293,196 is 1427315512.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 301, 578, 952, 293, 196?
Answer: LCM of 301, 578, 952, 293, 196 is 1427315512.
2. How to calculate the LCM of 301, 578, 952, 293, 196?
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 301, 578, 952, 293, 196.
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}.