LCM of 531, 363, 255, 627, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 531, 363, 255, 627, 894 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 531, 363, 255, 627, 894. So, keep reading to learn more.
Given numbers are 531,363,255,627,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 531,363,255,627,894 is 30922078770.
Find LCM of 531,363,255,627,894 with Prime Factorization
| 3 | 531, 363, 255, 627, 894 |
| 11 | 177, 121, 85, 209, 298 |
| 177, 11, 85, 19, 298 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 177 x 11 x 85 x 19 x 298 = 30922078770
Therefore, the lowest common multiple of 531,363,255,627,894 is 30922078770.
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.
531 x 363 x 255 x 627 x 894 = 27551572184070
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.
531 : 1, 3, 9, 59, 177, 531
363 : 1, 3, 11, 33, 121, 363
255 : 1, 3, 5, 15, 17, 51, 85, 255
627 : 1, 3, 11, 19, 33, 57, 209, 627
894 : 1, 2, 3, 6, 149, 298, 447, 894
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,363,255,627,894, is 3.
Now, the common factors can be found like this.
531:3x 3x 59
363:3x 11x 11
255:3x 5x 17
627:3x 11x 19
894:2x 3x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 11 = 297
Therefore, the value for common factors is 297.
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 = 27551572184070/(3x297)
LCM = 27551572184070/891
LCM = 30922078770
Thus, we can understand that the LCM of 531,363,255,627,894 is 30922078770.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 531, 363, 255, 627, 894
1. What is the LCM of 531, 363, 255, 627, 894?
Answer: LCM of 531, 363, 255, 627, 894 is 30922078770.
2. How to calculate the LCM of 531, 363, 255, 627, 894?
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 531, 363, 255, 627, 894.
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}.