LCM of 891, 532, 338, 930, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 891, 532, 338, 930, 442 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 891, 532, 338, 930, 442. So, keep reading to learn more.
Given numbers are 891,532,338,930,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 891,532,338,930,442 is 211084653780.
Find LCM of 891,532,338,930,442 with Prime Factorization
| 2 | 891, 532, 338, 930, 442 |
| 3 | 891, 266, 169, 465, 221 |
| 13 | 297, 266, 169, 155, 221 |
| 297, 266, 13, 155, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 297 x 266 x 13 x 155 x 17 = 211084653780
Therefore, the lowest common multiple of 891,532,338,930,442 is 211084653780.
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.
891 x 532 x 338 x 930 x 442 = 65858411979360
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.
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
338 : 1, 2, 13, 26, 169, 338
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,532,338,930,442, is 1.
Now, the common factors can be found like this.
891:3x 3x 3x 3x 11
532:2x 2x 7x 19
338:2x 13x 13
930:2x 3x 5x 31
442:2x 13x 17
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 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 65858411979360/(1x312)
LCM = 65858411979360/312
LCM = 211084653780
Thus, we can understand that the LCM of 891,532,338,930,442 is 211084653780.
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FAQs on LCM of 891, 532, 338, 930, 442
1. What is the LCM of 891, 532, 338, 930, 442?
Answer: LCM of 891, 532, 338, 930, 442 is 211084653780.
2. How to calculate the LCM of 891, 532, 338, 930, 442?
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 891, 532, 338, 930, 442.
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}.