LCM of 980, 633, 844, 363, 329
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 980, 633, 844, 363, 329 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 980, 633, 844, 363, 329. So, keep reading to learn more.
Given numbers are 980,633,844,363,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,633,844,363,329 is 3527873580.
Find LCM of 980,633,844,363,329 with Prime Factorization
| 2 | 980, 633, 844, 363, 329 |
| 2 | 490, 633, 422, 363, 329 |
| 3 | 245, 633, 211, 363, 329 |
| 7 | 245, 211, 211, 121, 329 |
| 211 | 35, 211, 211, 121, 47 |
| 35, 1, 1, 121, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 211 x 35 x 1 x 1 x 121 x 47 = 3527873580
Therefore, the lowest common multiple of 980,633,844,363,329 is 3527873580.
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.
980 x 633 x 844 x 363 x 329 = 62528031331920
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.
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
633 : 1, 3, 211, 633
844 : 1, 2, 4, 211, 422, 844
363 : 1, 3, 11, 33, 121, 363
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,633,844,363,329, is 1.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
633:3x 211
844:2x 2x 211
363:3x 11x 11
329:7x 47
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 7x 211 = 17724
Therefore, the value for common factors is 17724.
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 = 62528031331920/(1x17724)
LCM = 62528031331920/17724
LCM = 3527873580
Thus, we can understand that the LCM of 980,633,844,363,329 is 3527873580.
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FAQs on LCM of 980, 633, 844, 363, 329
1. What is the LCM of 980, 633, 844, 363, 329?
Answer: LCM of 980, 633, 844, 363, 329 is 3527873580.
2. How to calculate the LCM of 980, 633, 844, 363, 329?
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 980, 633, 844, 363, 329.
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}.