LCM of 865, 288, 774, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 865, 288, 774, 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 865, 288, 774, 240. So, keep reading to learn more.
Given numbers are 865,288,774,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 865,288,774,240 is 10712160.
Find LCM of 865,288,774,240 with Prime Factorization
| 2 | 865, 288, 774, 240 |
| 2 | 865, 144, 387, 120 |
| 2 | 865, 72, 387, 60 |
| 2 | 865, 36, 387, 30 |
| 3 | 865, 18, 387, 15 |
| 3 | 865, 6, 129, 5 |
| 5 | 865, 2, 43, 5 |
| 173, 2, 43, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 5 x 173 x 2 x 43 x 1 = 10712160
Therefore, the lowest common multiple of 865,288,774,240 is 10712160.
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.
865 x 288 x 774 x 240 = 46276531200
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.
865 : 1, 5, 173, 865
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
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 865,288,774,240, is 1.
Now, the common factors can be found like this.
865:5x 173
288:2x 2x 2x 2x 2x 3x 3
774:2x 3x 3x 43
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 2x 2x 3x 3x 3x 5 = 4320
Therefore, the value for common factors is 4320.
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 = 46276531200/(1x4320)
LCM = 46276531200/4320
LCM = 10712160
Thus, we can understand that the LCM of 865,288,774,240 is 10712160.
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FAQs on LCM of 865, 288, 774, 240
1. What is the LCM of 865, 288, 774, 240?
Answer: LCM of 865, 288, 774, 240 is 10712160.
2. How to calculate the LCM of 865, 288, 774, 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 865, 288, 774, 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}.