LCM of 615, 923, 689, 159, 159
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 615, 923, 689, 159, 159 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, 923, 689, 159, 159. So, keep reading to learn more.
Given numbers are 615,923,689,159,159
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 615,923,689,159,159 is 30085185.
Find LCM of 615,923,689,159,159 with Prime Factorization
| 3 | 615, 923, 689, 159, 159 |
| 13 | 205, 923, 689, 53, 53 |
| 53 | 205, 71, 53, 53, 53 |
| 205, 71, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 53 x 205 x 71 x 1 x 1 x 1 = 30085185
Therefore, the lowest common multiple of 615,923,689,159,159 is 30085185.
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 923 x 689 x 159 x 159 = 9887586305805
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
923 : 1, 13, 71, 923
689 : 1, 13, 53, 689
159 : 1, 3, 53, 159
159 : 1, 3, 53, 159
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 615,923,689,159,159, is 1.
Now, the common factors can be found like this.
615:3x 5x 41
923:13x 71
689:13x 53
159:3x 53
159:3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13x 53x 53 = 328653
Therefore, the value for common factors is 328653.
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 = 9887586305805/(1x328653)
LCM = 9887586305805/328653
LCM = 30085185
Thus, we can understand that the LCM of 615,923,689,159,159 is 30085185.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 615, 923, 689, 159, 159
1. What is the LCM of 615, 923, 689, 159, 159?
Answer: LCM of 615, 923, 689, 159, 159 is 30085185.
2. How to calculate the LCM of 615, 923, 689, 159, 159?
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, 923, 689, 159, 159.
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}.