Find the LCM of 590, 494, 141, 340 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 590, 494, 141, 340. So, keep reading to learn more.
Given numbers are 590,494,141,340
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 590,494,141,340 is 698629620.
Find LCM of 590,494,141,340 with Prime Factorization
2 | 590, 494, 141, 340 |
5 | 295, 247, 141, 170 |
59, 247, 141, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 59 x 247 x 141 x 34 = 698629620
Therefore, the lowest common multiple of 590,494,141,340 is 698629620.
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.
590 x 494 x 141 x 340 = 13972592400
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.
590 : 1, 2, 5, 10, 59, 118, 295, 590
494 : 1, 2, 13, 19, 26, 38, 247, 494
141 : 1, 3, 47, 141
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,494,141,340, is 1.
Now, the common factors can be found like this.
590:2x 5x 59
494:2x 13x 19
141:3x 47
340:2x 2x 5x 17
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 5 = 20
Therefore, the value for common factors is 20.
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 = 13972592400/(1x20)
LCM = 13972592400/20
LCM = 698629620
Thus, we can understand that the LCM of 590,494,141,340 is 698629620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 590, 494, 141, 340?
Answer: LCM of 590, 494, 141, 340 is 698629620.
2. How to calculate the LCM of 590, 494, 141, 340?
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 590, 494, 141, 340.
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}.