Find the LCM of 614, 425, 299, 598, 242 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 614, 425, 299, 598, 242. So, keep reading to learn more.
Given numbers are 614,425,299,598,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,425,299,598,242 is 9440910050.
Find LCM of 614,425,299,598,242 with Prime Factorization
2 | 614, 425, 299, 598, 242 |
13 | 307, 425, 299, 299, 121 |
23 | 307, 425, 23, 23, 121 |
307, 425, 1, 1, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 307 x 425 x 1 x 1 x 121 = 9440910050
Therefore, the lowest common multiple of 614,425,299,598,242 is 9440910050.
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.
614 x 425 x 299 x 598 x 242 = 11291328419800
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.
614 : 1, 2, 307, 614
425 : 1, 5, 17, 25, 85, 425
299 : 1, 13, 23, 299
598 : 1, 2, 13, 23, 26, 46, 299, 598
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,425,299,598,242, is 1.
Now, the common factors can be found like this.
614:2x 307
425:5x 5x 17
299:13x 23
598:2x 13x 23
242:2x 11x 11
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 13x 23 = 1196
Therefore, the value for common factors is 1196.
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 = 11291328419800/(1x1196)
LCM = 11291328419800/1196
LCM = 9440910050
Thus, we can understand that the LCM of 614,425,299,598,242 is 9440910050.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 614, 425, 299, 598, 242?
Answer: LCM of 614, 425, 299, 598, 242 is 9440910050.
2. How to calculate the LCM of 614, 425, 299, 598, 242?
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 614, 425, 299, 598, 242.
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}.