LCM of 852, 972, 518, 531, 236
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 852, 972, 518, 531, 236 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 852, 972, 518, 531, 236. So, keep reading to learn more.
Given numbers are 852,972,518,531,236
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,972,518,531,236 is 1054572372.
Find LCM of 852,972,518,531,236 with Prime Factorization
| 2 | 852, 972, 518, 531, 236 |
| 2 | 426, 486, 259, 531, 118 |
| 3 | 213, 243, 259, 531, 59 |
| 3 | 71, 81, 259, 177, 59 |
| 59 | 71, 27, 259, 59, 59 |
| 71, 27, 259, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 59 x 71 x 27 x 259 x 1 x 1 = 1054572372
Therefore, the lowest common multiple of 852,972,518,531,236 is 1054572372.
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.
852 x 972 x 518 x 531 x 236 = 53757881235072
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.
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
518 : 1, 2, 7, 14, 37, 74, 259, 518
531 : 1, 3, 9, 59, 177, 531
236 : 1, 2, 4, 59, 118, 236
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,972,518,531,236, is 1.
Now, the common factors can be found like this.
852:2x 2x 3x 71
972:2x 2x 3x 3x 3x 3x 3
518:2x 7x 37
531:3x 3x 59
236:2x 2x 59
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 2x 2x 3x 3x 3x 59 = 50976
Therefore, the value for common factors is 50976.
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 = 53757881235072/(1x50976)
LCM = 53757881235072/50976
LCM = 1054572372
Thus, we can understand that the LCM of 852,972,518,531,236 is 1054572372.
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FAQs on LCM of 852, 972, 518, 531, 236
1. What is the LCM of 852, 972, 518, 531, 236?
Answer: LCM of 852, 972, 518, 531, 236 is 1054572372.
2. How to calculate the LCM of 852, 972, 518, 531, 236?
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 852, 972, 518, 531, 236.
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}.