Find the LCM of 342, 551, 580, 209, 802 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 342, 551, 580, 209, 802. So, keep reading to learn more.
Given numbers are 342,551,580,209,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 342,551,580,209,802 is 437482980.
Find LCM of 342,551,580,209,802 with Prime Factorization
2 | 342, 551, 580, 209, 802 |
19 | 171, 551, 290, 209, 401 |
29 | 9, 29, 290, 11, 401 |
9, 1, 10, 11, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 29 x 9 x 1 x 10 x 11 x 401 = 437482980
Therefore, the lowest common multiple of 342,551,580,209,802 is 437482980.
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.
342 x 551 x 580 x 209 x 802 = 18320037270480
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.
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
551 : 1, 19, 29, 551
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
209 : 1, 11, 19, 209
802 : 1, 2, 401, 802
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,551,580,209,802, is 1.
Now, the common factors can be found like this.
342:2x 3x 3x 19
551:19x 29
580:2x 2x 5x 29
209:11x 19
802:2x 401
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 19x 19x 29 = 41876
Therefore, the value for common factors is 41876.
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 = 18320037270480/(1x41876)
LCM = 18320037270480/41876
LCM = 437482980
Thus, we can understand that the LCM of 342,551,580,209,802 is 437482980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 342, 551, 580, 209, 802?
Answer: LCM of 342, 551, 580, 209, 802 is 437482980.
2. How to calculate the LCM of 342, 551, 580, 209, 802?
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 342, 551, 580, 209, 802.
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}.