LCM of 615, 682, 658, 378, 890
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 615, 682, 658, 378, 890 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 615, 682, 658, 378, 890. So, keep reading to learn more.
Given numbers are 615,682,658,378,890
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 615,682,658,378,890 is 110531968470.
Find LCM of 615,682,658,378,890 with Prime Factorization
| 2 | 615, 682, 658, 378, 890 |
| 3 | 615, 341, 329, 189, 445 |
| 5 | 205, 341, 329, 63, 445 |
| 7 | 41, 341, 329, 63, 89 |
| 41, 341, 47, 9, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 41 x 341 x 47 x 9 x 89 = 110531968470
Therefore, the lowest common multiple of 615,682,658,378,890 is 110531968470.
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.
615 x 682 x 658 x 378 x 890 = 92846853514800
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.
615 : 1, 3, 5, 15, 41, 123, 205, 615
682 : 1, 2, 11, 22, 31, 62, 341, 682
658 : 1, 2, 7, 14, 47, 94, 329, 658
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
890 : 1, 2, 5, 10, 89, 178, 445, 890
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 615,682,658,378,890, is 1.
Now, the common factors can be found like this.
615:3x 5x 41
682:2x 11x 31
658:2x 7x 47
378:2x 3x 3x 3x 7
890:2x 5x 89
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 3x 5x 7 = 840
Therefore, the value for common factors is 840.
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 = 92846853514800/(1x840)
LCM = 92846853514800/840
LCM = 110531968470
Thus, we can understand that the LCM of 615,682,658,378,890 is 110531968470.
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FAQs on LCM of 615, 682, 658, 378, 890
1. What is the LCM of 615, 682, 658, 378, 890?
Answer: LCM of 615, 682, 658, 378, 890 is 110531968470.
2. How to calculate the LCM of 615, 682, 658, 378, 890?
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 615, 682, 658, 378, 890.
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}.