LCM of 855, 109, 840, 279, 777
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 109, 840, 279, 777 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, 109, 840, 279, 777. So, keep reading to learn more.
Given numbers are 855,109,840,279,777
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,109,840,279,777 is 5986101240.
Find LCM of 855,109,840,279,777 with Prime Factorization
| 3 | 855, 109, 840, 279, 777 |
| 3 | 285, 109, 280, 93, 259 |
| 5 | 95, 109, 280, 31, 259 |
| 7 | 19, 109, 56, 31, 259 |
| 19, 109, 8, 31, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 19 x 109 x 8 x 31 x 37 = 5986101240
Therefore, the lowest common multiple of 855,109,840,279,777 is 5986101240.
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 109 x 840 x 279 x 777 = 16970597015400
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
109 : 1, 109
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
279 : 1, 3, 9, 31, 93, 279
777 : 1, 3, 7, 21, 37, 111, 259, 777
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,109,840,279,777, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
109:109
840:2x 2x 2x 3x 5x 7
279:3x 3x 31
777:3x 7x 37
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 3x 3x 5x 7 = 2835
Therefore, the value for common factors is 2835.
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 = 16970597015400/(1x2835)
LCM = 16970597015400/2835
LCM = 5986101240
Thus, we can understand that the LCM of 855,109,840,279,777 is 5986101240.
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FAQs on LCM of 855, 109, 840, 279, 777
1. What is the LCM of 855, 109, 840, 279, 777?
Answer: LCM of 855, 109, 840, 279, 777 is 5986101240.
2. How to calculate the LCM of 855, 109, 840, 279, 777?
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, 109, 840, 279, 777.
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}.