LCM of 690, 903, 506, 610, 183
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 690, 903, 506, 610, 183 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 690, 903, 506, 610, 183. So, keep reading to learn more.
Given numbers are 690,903,506,610,183
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,903,506,610,183 is 139359990.
Find LCM of 690,903,506,610,183 with Prime Factorization
| 2 | 690, 903, 506, 610, 183 |
| 3 | 345, 903, 253, 305, 183 |
| 5 | 115, 301, 253, 305, 61 |
| 23 | 23, 301, 253, 61, 61 |
| 61 | 1, 301, 11, 61, 61 |
| 1, 301, 11, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 61 x 1 x 301 x 11 x 1 x 1 = 139359990
Therefore, the lowest common multiple of 690,903,506,610,183 is 139359990.
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.
690 x 903 x 506 x 610 x 183 = 35193971874600
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.
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
903 : 1, 3, 7, 21, 43, 129, 301, 903
506 : 1, 2, 11, 22, 23, 46, 253, 506
610 : 1, 2, 5, 10, 61, 122, 305, 610
183 : 1, 3, 61, 183
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,903,506,610,183, is 1.
Now, the common factors can be found like this.
690:2x 3x 5x 23
903:3x 7x 43
506:2x 11x 23
610:2x 5x 61
183:3x 61
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 3x 3x 5x 23x 61 = 252540
Therefore, the value for common factors is 252540.
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 = 35193971874600/(1x252540)
LCM = 35193971874600/252540
LCM = 139359990
Thus, we can understand that the LCM of 690,903,506,610,183 is 139359990.
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FAQs on LCM of 690, 903, 506, 610, 183
1. What is the LCM of 690, 903, 506, 610, 183?
Answer: LCM of 690, 903, 506, 610, 183 is 139359990.
2. How to calculate the LCM of 690, 903, 506, 610, 183?
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 690, 903, 506, 610, 183.
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}.