LCM of 386, 848, 363, 691, 983
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 386, 848, 363, 691, 983 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 386, 848, 363, 691, 983. So, keep reading to learn more.
Given numbers are 386,848,363,691,983
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 386,848,363,691,983 is 40354442466096.
Find LCM of 386,848,363,691,983 with Prime Factorization
| 2 | 386, 848, 363, 691, 983 |
| 193, 424, 363, 691, 983 |
Multiply the prime numbers at the bottom and the left side.
2 x 193 x 424 x 363 x 691 x 983 = 40354442466096
Therefore, the lowest common multiple of 386,848,363,691,983 is 40354442466096.
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.
386 x 848 x 363 x 691 x 983 = 80708884932192
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.
386 : 1, 2, 193, 386
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
363 : 1, 3, 11, 33, 121, 363
691 : 1, 691
983 : 1, 983
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,848,363,691,983, is 1.
Now, the common factors can be found like this.
386:2x 193
848:2x 2x 2x 2x 53
363:3x 11x 11
691:691
983:983
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 80708884932192/(1x2)
LCM = 80708884932192/2
LCM = 40354442466096
Thus, we can understand that the LCM of 386,848,363,691,983 is 40354442466096.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 386, 848, 363, 691, 983
1. What is the LCM of 386, 848, 363, 691, 983?
Answer: LCM of 386, 848, 363, 691, 983 is 40354442466096.
2. How to calculate the LCM of 386, 848, 363, 691, 983?
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 386, 848, 363, 691, 983.
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}.