LCM of 331, 798, 966, 754, 329
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 331, 798, 966, 754, 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 331, 798, 966, 754, 329. So, keep reading to learn more.
Given numbers are 331,798,966,754,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 331,798,966,754,329 is 107646008106.
Find LCM of 331,798,966,754,329 with Prime Factorization
| 2 | 331, 798, 966, 754, 329 |
| 3 | 331, 399, 483, 377, 329 |
| 7 | 331, 133, 161, 377, 329 |
| 331, 19, 23, 377, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 331 x 19 x 23 x 377 x 47 = 107646008106
Therefore, the lowest common multiple of 331,798,966,754,329 is 107646008106.
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.
331 x 798 x 966 x 754 x 329 = 63295852766328
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.
331 : 1, 331
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
754 : 1, 2, 13, 26, 29, 58, 377, 754
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,798,966,754,329, is 1.
Now, the common factors can be found like this.
331:331
798:2x 3x 7x 19
966:2x 3x 7x 23
754:2x 13x 29
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 7 = 588
Therefore, the value for common factors is 588.
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 = 63295852766328/(1x588)
LCM = 63295852766328/588
LCM = 107646008106
Thus, we can understand that the LCM of 331,798,966,754,329 is 107646008106.
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FAQs on LCM of 331, 798, 966, 754, 329
1. What is the LCM of 331, 798, 966, 754, 329?
Answer: LCM of 331, 798, 966, 754, 329 is 107646008106.
2. How to calculate the LCM of 331, 798, 966, 754, 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 331, 798, 966, 754, 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}.