LCM of 855, 993, 663, 782, 425
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 993, 663, 782, 425 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, 993, 663, 782, 425. So, keep reading to learn more.
Given numbers are 855,993,663,782,425
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,993,663,782,425 is 14385144150.
Find LCM of 855,993,663,782,425 with Prime Factorization
| 3 | 855, 993, 663, 782, 425 |
| 5 | 285, 331, 221, 782, 425 |
| 17 | 57, 331, 221, 782, 85 |
| 57, 331, 13, 46, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 57 x 331 x 13 x 46 x 5 = 14385144150
Therefore, the lowest common multiple of 855,993,663,782,425 is 14385144150.
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 993 x 663 x 782 x 425 = 187078799670750
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
993 : 1, 3, 331, 993
663 : 1, 3, 13, 17, 39, 51, 221, 663
782 : 1, 2, 17, 23, 34, 46, 391, 782
425 : 1, 5, 17, 25, 85, 425
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,993,663,782,425, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
993:3x 331
663:3x 13x 17
782:2x 17x 23
425:5x 5x 17
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 17x 17 = 13005
Therefore, the value for common factors is 13005.
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 = 187078799670750/(1x13005)
LCM = 187078799670750/13005
LCM = 14385144150
Thus, we can understand that the LCM of 855,993,663,782,425 is 14385144150.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 855, 993, 663, 782, 425
1. What is the LCM of 855, 993, 663, 782, 425?
Answer: LCM of 855, 993, 663, 782, 425 is 14385144150.
2. How to calculate the LCM of 855, 993, 663, 782, 425?
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, 993, 663, 782, 425.
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}.