LCM of 130, 270, 369, 858, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 130, 270, 369, 858, 909 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 130, 270, 369, 858, 909. So, keep reading to learn more.
Given numbers are 130,270,369,858,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 130,270,369,858,909 is 159884010.
Find LCM of 130,270,369,858,909 with Prime Factorization
| 2 | 130, 270, 369, 858, 909 |
| 3 | 65, 135, 369, 429, 909 |
| 3 | 65, 45, 123, 143, 303 |
| 5 | 65, 15, 41, 143, 101 |
| 13 | 13, 3, 41, 143, 101 |
| 1, 3, 41, 11, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 13 x 1 x 3 x 41 x 11 x 101 = 159884010
Therefore, the lowest common multiple of 130,270,369,858,909 is 159884010.
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.
130 x 270 x 369 x 858 x 909 = 10101471751800
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.
130 : 1, 2, 5, 10, 13, 26, 65, 130
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
369 : 1, 3, 9, 41, 123, 369
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,270,369,858,909, is 1.
Now, the common factors can be found like this.
130:2x 5x 13
270:2x 3x 3x 3x 5
369:3x 3x 41
858:2x 3x 11x 13
909:3x 3x 101
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 3x 3x 3x 5x 13 = 63180
Therefore, the value for common factors is 63180.
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 = 10101471751800/(1x63180)
LCM = 10101471751800/63180
LCM = 159884010
Thus, we can understand that the LCM of 130,270,369,858,909 is 159884010.
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FAQs on LCM of 130, 270, 369, 858, 909
1. What is the LCM of 130, 270, 369, 858, 909?
Answer: LCM of 130, 270, 369, 858, 909 is 159884010.
2. How to calculate the LCM of 130, 270, 369, 858, 909?
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 130, 270, 369, 858, 909.
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}.