LCM of 983, 378, 460, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 983, 378, 460, 704 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 983, 378, 460, 704. So, keep reading to learn more.
Given numbers are 983,378,460,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 983,378,460,704 is 15041315520.
Find LCM of 983,378,460,704 with Prime Factorization
| 2 | 983, 378, 460, 704 |
| 2 | 983, 189, 230, 352 |
| 983, 189, 115, 176 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 983 x 189 x 115 x 176 = 15041315520
Therefore, the lowest common multiple of 983,378,460,704 is 15041315520.
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.
983 x 378 x 460 x 704 = 120330524160
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.
983 : 1, 983
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,378,460,704, is 1.
Now, the common factors can be found like this.
983:983
378:2x 3x 3x 3x 7
460:2x 2x 5x 23
704:2x 2x 2x 2x 2x 2x 11
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 2 = 8
Therefore, the value for common factors is 8.
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 = 120330524160/(1x8)
LCM = 120330524160/8
LCM = 15041315520
Thus, we can understand that the LCM of 983,378,460,704 is 15041315520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 983, 378, 460, 704
1. What is the LCM of 983, 378, 460, 704?
Answer: LCM of 983, 378, 460, 704 is 15041315520.
2. How to calculate the LCM of 983, 378, 460, 704?
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 983, 378, 460, 704.
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}.