LCM of 605, 846, 902, 705, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 846, 902, 705, 891 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 605, 846, 902, 705, 891. So, keep reading to learn more.
Given numbers are 605,846,902,705,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,846,902,705,891 is 188865270.
Find LCM of 605,846,902,705,891 with Prime Factorization
| 2 | 605, 846, 902, 705, 891 |
| 3 | 605, 423, 451, 705, 891 |
| 3 | 605, 141, 451, 235, 297 |
| 5 | 605, 47, 451, 235, 99 |
| 11 | 121, 47, 451, 47, 99 |
| 47 | 11, 47, 41, 47, 9 |
| 11, 1, 41, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 47 x 11 x 1 x 41 x 1 x 9 = 188865270
Therefore, the lowest common multiple of 605,846,902,705,891 is 188865270.
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.
605 x 846 x 902 x 705 x 891 = 290000733432300
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.
605 : 1, 5, 11, 55, 121, 605
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
902 : 1, 2, 11, 22, 41, 82, 451, 902
705 : 1, 3, 5, 15, 47, 141, 235, 705
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,846,902,705,891, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
846:2x 3x 3x 47
902:2x 11x 41
705:3x 5x 47
891:3x 3x 3x 3x 11
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 3x 3x 5x 11x 11x 47 = 1535490
Therefore, the value for common factors is 1535490.
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 = 290000733432300/(1x1535490)
LCM = 290000733432300/1535490
LCM = 188865270
Thus, we can understand that the LCM of 605,846,902,705,891 is 188865270.
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FAQs on LCM of 605, 846, 902, 705, 891
1. What is the LCM of 605, 846, 902, 705, 891?
Answer: LCM of 605, 846, 902, 705, 891 is 188865270.
2. How to calculate the LCM of 605, 846, 902, 705, 891?
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 605, 846, 902, 705, 891.
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}.