LCM of 606, 105, 723, 665, 665
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 105, 723, 665, 665 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 606, 105, 723, 665, 665. So, keep reading to learn more.
Given numbers are 606,105,723,665,665
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,105,723,665,665 is 97120590.
Find LCM of 606,105,723,665,665 with Prime Factorization
| 3 | 606, 105, 723, 665, 665 |
| 5 | 202, 35, 241, 665, 665 |
| 7 | 202, 7, 241, 133, 133 |
| 19 | 202, 1, 241, 19, 19 |
| 202, 1, 241, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 19 x 202 x 1 x 241 x 1 x 1 = 97120590
Therefore, the lowest common multiple of 606,105,723,665,665 is 97120590.
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.
606 x 105 x 723 x 665 x 665 = 20344335590250
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
105 : 1, 3, 5, 7, 15, 21, 35, 105
723 : 1, 3, 241, 723
665 : 1, 5, 7, 19, 35, 95, 133, 665
665 : 1, 5, 7, 19, 35, 95, 133, 665
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,105,723,665,665, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
105:3x 5x 7
723:3x 241
665:5x 7x 19
665:5x 7x 19
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 5x 5x 7x 7x 19 = 209475
Therefore, the value for common factors is 209475.
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 = 20344335590250/(1x209475)
LCM = 20344335590250/209475
LCM = 97120590
Thus, we can understand that the LCM of 606,105,723,665,665 is 97120590.
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FAQs on LCM of 606, 105, 723, 665, 665
1. What is the LCM of 606, 105, 723, 665, 665?
Answer: LCM of 606, 105, 723, 665, 665 is 97120590.
2. How to calculate the LCM of 606, 105, 723, 665, 665?
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 606, 105, 723, 665, 665.
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}.