Find the LCM of 343, 242, 434, 968, 293 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 343, 242, 434, 968, 293. So, keep reading to learn more.
Given numbers are 343,242,434,968,293
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,242,434,968,293 is 3015773992.
Find LCM of 343,242,434,968,293 with Prime Factorization
2 | 343, 242, 434, 968, 293 |
7 | 343, 121, 217, 484, 293 |
11 | 49, 121, 31, 484, 293 |
11 | 49, 11, 31, 44, 293 |
49, 1, 31, 4, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 11 x 49 x 1 x 31 x 4 x 293 = 3015773992
Therefore, the lowest common multiple of 343,242,434,968,293 is 3015773992.
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.
343 x 242 x 434 x 968 x 293 = 10217442284896
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.
343 : 1, 7, 49, 343
242 : 1, 2, 11, 22, 121, 242
434 : 1, 2, 7, 14, 31, 62, 217, 434
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
293 : 1, 293
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,242,434,968,293, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
242:2x 11x 11
434:2x 7x 31
968:2x 2x 2x 11x 11
293:293
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 7x 11x 11 = 3388
Therefore, the value for common factors is 3388.
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 = 10217442284896/(1x3388)
LCM = 10217442284896/3388
LCM = 3015773992
Thus, we can understand that the LCM of 343,242,434,968,293 is 3015773992.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 343, 242, 434, 968, 293?
Answer: LCM of 343, 242, 434, 968, 293 is 3015773992.
2. How to calculate the LCM of 343, 242, 434, 968, 293?
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 343, 242, 434, 968, 293.
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}.