LCM of 855, 680, 640, 872, 133
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 680, 640, 872, 133 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 855, 680, 640, 872, 133. So, keep reading to learn more.
Given numbers are 855,680,640,872,133
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,680,640,872,133 is 1419546240.
Find LCM of 855,680,640,872,133 with Prime Factorization
| 2 | 855, 680, 640, 872, 133 |
| 2 | 855, 340, 320, 436, 133 |
| 2 | 855, 170, 160, 218, 133 |
| 5 | 855, 85, 80, 109, 133 |
| 19 | 171, 17, 16, 109, 133 |
| 9, 17, 16, 109, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 19 x 9 x 17 x 16 x 109 x 7 = 1419546240
Therefore, the lowest common multiple of 855,680,640,872,133 is 1419546240.
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.
855 x 680 x 640 x 872 x 133 = 43154205696000
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
872 : 1, 2, 4, 8, 109, 218, 436, 872
133 : 1, 7, 19, 133
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,680,640,872,133, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
680:2x 2x 2x 5x 17
640:2x 2x 2x 2x 2x 2x 2x 5
872:2x 2x 2x 109
133:7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 5x 5x 19 = 30400
Therefore, the value for common factors is 30400.
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 = 43154205696000/(1x30400)
LCM = 43154205696000/30400
LCM = 1419546240
Thus, we can understand that the LCM of 855,680,640,872,133 is 1419546240.
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FAQs on LCM of 855, 680, 640, 872, 133
1. What is the LCM of 855, 680, 640, 872, 133?
Answer: LCM of 855, 680, 640, 872, 133 is 1419546240.
2. How to calculate the LCM of 855, 680, 640, 872, 133?
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 855, 680, 640, 872, 133.
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}.