LCM of 989, 828, 781, 822, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 828, 781, 822, 338 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 989, 828, 781, 822, 338. So, keep reading to learn more.
Given numbers are 989,828,781,822,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,828,781,822,338 is 643809080772.
Find LCM of 989,828,781,822,338 with Prime Factorization
| 2 | 989, 828, 781, 822, 338 |
| 3 | 989, 414, 781, 411, 169 |
| 23 | 989, 138, 781, 137, 169 |
| 43, 6, 781, 137, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 43 x 6 x 781 x 137 x 169 = 643809080772
Therefore, the lowest common multiple of 989,828,781,822,338 is 643809080772.
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.
989 x 828 x 781 x 822 x 338 = 177691306293072
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.
989 : 1, 23, 43, 989
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
781 : 1, 11, 71, 781
822 : 1, 2, 3, 6, 137, 274, 411, 822
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,828,781,822,338, is 1.
Now, the common factors can be found like this.
989:23x 43
828:2x 2x 3x 3x 23
781:11x 71
822:2x 3x 137
338:2x 13x 13
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 3x 23 = 276
Therefore, the value for common factors is 276.
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 = 177691306293072/(1x276)
LCM = 177691306293072/276
LCM = 643809080772
Thus, we can understand that the LCM of 989,828,781,822,338 is 643809080772.
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FAQs on LCM of 989, 828, 781, 822, 338
1. What is the LCM of 989, 828, 781, 822, 338?
Answer: LCM of 989, 828, 781, 822, 338 is 643809080772.
2. How to calculate the LCM of 989, 828, 781, 822, 338?
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 989, 828, 781, 822, 338.
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}.