LCM of 285, 720, 715, 708
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 285, 720, 715, 708 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 285, 720, 715, 708. So, keep reading to learn more.
Given numbers are 285,720,715,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 285,720,715,708 is 115418160.
Find LCM of 285,720,715,708 with Prime Factorization
| 2 | 285, 720, 715, 708 |
| 2 | 285, 360, 715, 354 |
| 3 | 285, 180, 715, 177 |
| 5 | 95, 60, 715, 59 |
| 19, 12, 143, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 19 x 12 x 143 x 59 = 115418160
Therefore, the lowest common multiple of 285,720,715,708 is 115418160.
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.
285 x 720 x 715 x 708 = 103876344000
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.
285 : 1, 3, 5, 15, 19, 57, 95, 285
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
715 : 1, 5, 11, 13, 55, 65, 143, 715
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,720,715,708, is 1.
Now, the common factors can be found like this.
285:3x 5x 19
720:2x 2x 2x 2x 3x 3x 5
715:5x 11x 13
708:2x 2x 3x 59
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 3x 3x 5x 5 = 900
Therefore, the value for common factors is 900.
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 = 103876344000/(1x900)
LCM = 103876344000/900
LCM = 115418160
Thus, we can understand that the LCM of 285,720,715,708 is 115418160.
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FAQs on LCM of 285, 720, 715, 708
1. What is the LCM of 285, 720, 715, 708?
Answer: LCM of 285, 720, 715, 708 is 115418160.
2. How to calculate the LCM of 285, 720, 715, 708?
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 285, 720, 715, 708.
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}.