LCM of 551, 573, 326, 252, 656
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 551, 573, 326, 252, 656 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, 573, 326, 252, 656. So, keep reading to learn more.
Given numbers are 551,573,326,252,656
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,573,326,252,656 is 708952207824.
Find LCM of 551,573,326,252,656 with Prime Factorization
| 2 | 551, 573, 326, 252, 656 |
| 2 | 551, 573, 163, 126, 328 |
| 3 | 551, 573, 163, 63, 164 |
| 551, 191, 163, 21, 164 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 551 x 191 x 163 x 21 x 164 = 708952207824
Therefore, the lowest common multiple of 551,573,326,252,656 is 708952207824.
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 573 x 326 x 252 x 656 = 17014852987776
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
573 : 1, 3, 191, 573
326 : 1, 2, 163, 326
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,573,326,252,656, is 1.
Now, the common factors can be found like this.
551:19x 29
573:3x 191
326:2x 163
252:2x 2x 3x 3x 7
656:2x 2x 2x 2x 41
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 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 17014852987776/(1x24)
LCM = 17014852987776/24
LCM = 708952207824
Thus, we can understand that the LCM of 551,573,326,252,656 is 708952207824.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 551, 573, 326, 252, 656
1. What is the LCM of 551, 573, 326, 252, 656?
Answer: LCM of 551, 573, 326, 252, 656 is 708952207824.
2. How to calculate the LCM of 551, 573, 326, 252, 656?
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, 573, 326, 252, 656.
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}.