LCM of 910, 966, 865, 810, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 910, 966, 865, 810, 240 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 910, 966, 865, 810, 240. So, keep reading to learn more.
Given numbers are 910,966,865,810,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,966,865,810,240 is 2346336720.
Find LCM of 910,966,865,810,240 with Prime Factorization
| 2 | 910, 966, 865, 810, 240 |
| 3 | 455, 483, 865, 405, 120 |
| 5 | 455, 161, 865, 135, 40 |
| 7 | 91, 161, 173, 27, 8 |
| 13, 23, 173, 27, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 13 x 23 x 173 x 27 x 8 = 2346336720
Therefore, the lowest common multiple of 910,966,865,810,240 is 2346336720.
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.
910 x 966 x 865 x 810 x 240 = 147819213360000
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
865 : 1, 5, 173, 865
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,966,865,810,240, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
966:2x 3x 7x 23
865:5x 173
810:2x 3x 3x 3x 3x 5
240:2x 2x 2x 2x 3x 5
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 3x 3x 5x 5x 5x 7 = 63000
Therefore, the value for common factors is 63000.
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 = 147819213360000/(1x63000)
LCM = 147819213360000/63000
LCM = 2346336720
Thus, we can understand that the LCM of 910,966,865,810,240 is 2346336720.
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FAQs on LCM of 910, 966, 865, 810, 240
1. What is the LCM of 910, 966, 865, 810, 240?
Answer: LCM of 910, 966, 865, 810, 240 is 2346336720.
2. How to calculate the LCM of 910, 966, 865, 810, 240?
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 910, 966, 865, 810, 240.
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}.