Find the LCM of 551, 918, 839, 261, 662 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 551, 918, 839, 261, 662. So, keep reading to learn more.
Given numbers are 551,918,839,261,662
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,918,839,261,662 is 140470210962.
Find LCM of 551,918,839,261,662 with Prime Factorization
2 | 551, 918, 839, 261, 662 |
3 | 551, 459, 839, 261, 331 |
3 | 551, 153, 839, 87, 331 |
29 | 551, 51, 839, 29, 331 |
19, 51, 839, 1, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 29 x 19 x 51 x 839 x 1 x 331 = 140470210962
Therefore, the lowest common multiple of 551,918,839,261,662 is 140470210962.
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.
551 x 918 x 839 x 261 x 662 = 73325450122164
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.
551 : 1, 19, 29, 551
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
839 : 1, 839
261 : 1, 3, 9, 29, 87, 261
662 : 1, 2, 331, 662
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,918,839,261,662, is 1.
Now, the common factors can be found like this.
551:19x 29
918:2x 3x 3x 3x 17
839:839
261:3x 3x 29
662:2x 331
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 3x 29 = 522
Therefore, the value for common factors is 522.
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 = 73325450122164/(1x522)
LCM = 73325450122164/522
LCM = 140470210962
Thus, we can understand that the LCM of 551,918,839,261,662 is 140470210962.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 551, 918, 839, 261, 662?
Answer: LCM of 551, 918, 839, 261, 662 is 140470210962.
2. How to calculate the LCM of 551, 918, 839, 261, 662?
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 551, 918, 839, 261, 662.
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}.