LCM of 852, 338, 403, 766, 938
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 852, 338, 403, 766, 938 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, 338, 403, 766, 938. So, keep reading to learn more.
Given numbers are 852,338,403,766,938
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,338,403,766,938 is 801788106756.
Find LCM of 852,338,403,766,938 with Prime Factorization
| 2 | 852, 338, 403, 766, 938 |
| 13 | 426, 169, 403, 383, 469 |
| 426, 13, 31, 383, 469 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 426 x 13 x 31 x 383 x 469 = 801788106756
Therefore, the lowest common multiple of 852,338,403,766,938 is 801788106756.
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 338 x 403 x 766 x 938 = 83385963102624
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
338 : 1, 2, 13, 26, 169, 338
403 : 1, 13, 31, 403
766 : 1, 2, 383, 766
938 : 1, 2, 7, 14, 67, 134, 469, 938
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,338,403,766,938, is 1.
Now, the common factors can be found like this.
852:2x 2x 3x 71
338:2x 13x 13
403:13x 31
766:2x 383
938:2x 7x 67
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 13 = 104
Therefore, the value for common factors is 104.
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 = 83385963102624/(1x104)
LCM = 83385963102624/104
LCM = 801788106756
Thus, we can understand that the LCM of 852,338,403,766,938 is 801788106756.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 852, 338, 403, 766, 938
1. What is the LCM of 852, 338, 403, 766, 938?
Answer: LCM of 852, 338, 403, 766, 938 is 801788106756.
2. How to calculate the LCM of 852, 338, 403, 766, 938?
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, 338, 403, 766, 938.
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}.