LCM of 665, 817, 845, 690, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 665, 817, 845, 690, 678 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 665, 817, 845, 690, 678. So, keep reading to learn more.
Given numbers are 665,817,845,690,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 665,817,845,690,678 is 75358862670.
Find LCM of 665,817,845,690,678 with Prime Factorization
| 2 | 665, 817, 845, 690, 678 |
| 3 | 665, 817, 845, 345, 339 |
| 5 | 665, 817, 845, 115, 113 |
| 19 | 133, 817, 169, 23, 113 |
| 7, 43, 169, 23, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 7 x 43 x 169 x 23 x 113 = 75358862670
Therefore, the lowest common multiple of 665,817,845,690,678 is 75358862670.
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.
665 x 817 x 845 x 690 x 678 = 214772758609500
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.
665 : 1, 5, 7, 19, 35, 95, 133, 665
817 : 1, 19, 43, 817
845 : 1, 5, 13, 65, 169, 845
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 665,817,845,690,678, is 1.
Now, the common factors can be found like this.
665:5x 7x 19
817:19x 43
845:5x 13x 13
690:2x 3x 5x 23
678:2x 3x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 19 = 2850
Therefore, the value for common factors is 2850.
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 = 214772758609500/(1x2850)
LCM = 214772758609500/2850
LCM = 75358862670
Thus, we can understand that the LCM of 665,817,845,690,678 is 75358862670.
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FAQs on LCM of 665, 817, 845, 690, 678
1. What is the LCM of 665, 817, 845, 690, 678?
Answer: LCM of 665, 817, 845, 690, 678 is 75358862670.
2. How to calculate the LCM of 665, 817, 845, 690, 678?
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 665, 817, 845, 690, 678.
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}.