Find the LCM of 494, 796, 570, 380, 342 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 494, 796, 570, 380, 342. So, keep reading to learn more.
Given numbers are 494,796,570,380,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,796,570,380,342 is 8847540.
Find LCM of 494,796,570,380,342 with Prime Factorization
2 | 494, 796, 570, 380, 342 |
2 | 247, 398, 285, 190, 171 |
3 | 247, 199, 285, 95, 171 |
5 | 247, 199, 95, 95, 57 |
19 | 247, 199, 19, 19, 57 |
13, 199, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 19 x 13 x 199 x 1 x 1 x 3 = 8847540
Therefore, the lowest common multiple of 494,796,570,380,342 is 8847540.
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.
494 x 796 x 570 x 380 x 342 = 29128932892800
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
796 : 1, 2, 4, 199, 398, 796
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,796,570,380,342, is 2.
Now, the common factors can be found like this.
494:2x 13x 19
796:2x 2x 199
570:2x 3x 5x 19
380:2x 2x 5x 19
342:2x 3x 3x 19
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 5x 19x 19x 19 = 1646160
Therefore, the value for common factors is 1646160.
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 = 29128932892800/(2x1646160)
LCM = 29128932892800/3292320
LCM = 8847540
Thus, we can understand that the LCM of 494,796,570,380,342 is 8847540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 494, 796, 570, 380, 342?
Answer: LCM of 494, 796, 570, 380, 342 is 8847540.
2. How to calculate the LCM of 494, 796, 570, 380, 342?
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 494, 796, 570, 380, 342.
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}.