LCM of 658, 380, 378, 874, 782
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 658, 380, 378, 874, 782 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 658, 380, 378, 874, 782. So, keep reading to learn more.
Given numbers are 658,380,378,874,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 658,380,378,874,782 is 1319836140.
Find LCM of 658,380,378,874,782 with Prime Factorization
| 2 | 658, 380, 378, 874, 782 |
| 7 | 329, 190, 189, 437, 391 |
| 19 | 47, 190, 27, 437, 391 |
| 23 | 47, 10, 27, 23, 391 |
| 47, 10, 27, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 23 x 47 x 10 x 27 x 1 x 17 = 1319836140
Therefore, the lowest common multiple of 658,380,378,874,782 is 1319836140.
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.
658 x 380 x 378 x 874 x 782 = 64598060036160
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.
658 : 1, 2, 7, 14, 47, 94, 329, 658
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
874 : 1, 2, 19, 23, 38, 46, 437, 874
782 : 1, 2, 17, 23, 34, 46, 391, 782
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 658,380,378,874,782, is 2.
Now, the common factors can be found like this.
658:2x 7x 47
380:2x 2x 5x 19
378:2x 3x 3x 3x 7
874:2x 19x 23
782:2x 17x 23
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 2x 7x 19x 23 = 24472
Therefore, the value for common factors is 24472.
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 = 64598060036160/(2x24472)
LCM = 64598060036160/48944
LCM = 1319836140
Thus, we can understand that the LCM of 658,380,378,874,782 is 1319836140.
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FAQs on LCM of 658, 380, 378, 874, 782
1. What is the LCM of 658, 380, 378, 874, 782?
Answer: LCM of 658, 380, 378, 874, 782 is 1319836140.
2. How to calculate the LCM of 658, 380, 378, 874, 782?
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 658, 380, 378, 874, 782.
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}.