LCM of 105, 369, 902, 690, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 369, 902, 690, 868 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 105, 369, 902, 690, 868. So, keep reading to learn more.
Given numbers are 105,369,902,690,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,369,902,690,868 is 405169380.
Find LCM of 105,369,902,690,868 with Prime Factorization
| 2 | 105, 369, 902, 690, 868 |
| 3 | 105, 369, 451, 345, 434 |
| 5 | 35, 123, 451, 115, 434 |
| 7 | 7, 123, 451, 23, 434 |
| 41 | 1, 123, 451, 23, 62 |
| 1, 3, 11, 23, 62 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 41 x 1 x 3 x 11 x 23 x 62 = 405169380
Therefore, the lowest common multiple of 105,369,902,690,868 is 405169380.
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.
105 x 369 x 902 x 690 x 868 = 20931050170800
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
369 : 1, 3, 9, 41, 123, 369
902 : 1, 2, 11, 22, 41, 82, 451, 902
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,369,902,690,868, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
369:3x 3x 41
902:2x 11x 41
690:2x 3x 5x 23
868:2x 2x 7x 31
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 7x 41 = 51660
Therefore, the value for common factors is 51660.
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 = 20931050170800/(1x51660)
LCM = 20931050170800/51660
LCM = 405169380
Thus, we can understand that the LCM of 105,369,902,690,868 is 405169380.
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FAQs on LCM of 105, 369, 902, 690, 868
1. What is the LCM of 105, 369, 902, 690, 868?
Answer: LCM of 105, 369, 902, 690, 868 is 405169380.
2. How to calculate the LCM of 105, 369, 902, 690, 868?
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 105, 369, 902, 690, 868.
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}.