Find the LCM of 174, 354, 209, 605, 493 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 174, 354, 209, 605, 493. So, keep reading to learn more.
Given numbers are 174,354,209,605,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 174,354,209,605,493 is 2006130390.
Find LCM of 174,354,209,605,493 with Prime Factorization
2 | 174, 354, 209, 605, 493 |
3 | 87, 177, 209, 605, 493 |
11 | 29, 59, 209, 605, 493 |
29 | 29, 59, 19, 55, 493 |
1, 59, 19, 55, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 29 x 1 x 59 x 19 x 55 x 17 = 2006130390
Therefore, the lowest common multiple of 174,354,209,605,493 is 2006130390.
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.
174 x 354 x 209 x 605 x 493 = 3839733566460
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.
174 : 1, 2, 3, 6, 29, 58, 87, 174
354 : 1, 2, 3, 6, 59, 118, 177, 354
209 : 1, 11, 19, 209
605 : 1, 5, 11, 55, 121, 605
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,354,209,605,493, is 1.
Now, the common factors can be found like this.
174:2x 3x 29
354:2x 3x 59
209:11x 19
605:5x 11x 11
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 29 = 1914
Therefore, the value for common factors is 1914.
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 = 3839733566460/(1x1914)
LCM = 3839733566460/1914
LCM = 2006130390
Thus, we can understand that the LCM of 174,354,209,605,493 is 2006130390.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 174, 354, 209, 605, 493?
Answer: LCM of 174, 354, 209, 605, 493 is 2006130390.
2. How to calculate the LCM of 174, 354, 209, 605, 493?
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 174, 354, 209, 605, 493.
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}.