LCM of 855, 445, 817, 495, 356
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 445, 817, 495, 356 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, 445, 817, 495, 356. So, keep reading to learn more.
Given numbers are 855,445,817,495,356
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,445,817,495,356 is 143971740.
Find LCM of 855,445,817,495,356 with Prime Factorization
| 3 | 855, 445, 817, 495, 356 |
| 3 | 285, 445, 817, 165, 356 |
| 5 | 95, 445, 817, 55, 356 |
| 19 | 19, 89, 817, 11, 356 |
| 89 | 1, 89, 43, 11, 356 |
| 1, 1, 43, 11, 4 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 19 x 89 x 1 x 1 x 43 x 11 x 4 = 143971740
Therefore, the lowest common multiple of 855,445,817,495,356 is 143971740.
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 445 x 817 x 495 x 356 = 54777647776500
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
445 : 1, 5, 89, 445
817 : 1, 19, 43, 817
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
356 : 1, 2, 4, 89, 178, 356
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,445,817,495,356, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
445:5x 89
817:19x 43
495:3x 3x 5x 11
356:2x 2x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5x 19x 89 = 380475
Therefore, the value for common factors is 380475.
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 = 54777647776500/(1x380475)
LCM = 54777647776500/380475
LCM = 143971740
Thus, we can understand that the LCM of 855,445,817,495,356 is 143971740.
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FAQs on LCM of 855, 445, 817, 495, 356
1. What is the LCM of 855, 445, 817, 495, 356?
Answer: LCM of 855, 445, 817, 495, 356 is 143971740.
2. How to calculate the LCM of 855, 445, 817, 495, 356?
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, 445, 817, 495, 356.
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}.