LCM of 750, 992, 720, 862
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 750, 992, 720, 862 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 750, 992, 720, 862. So, keep reading to learn more.
Given numbers are 750,992,720,862
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 750,992,720,862 is 480996000.
Find LCM of 750,992,720,862 with Prime Factorization
| 2 | 750, 992, 720, 862 |
| 2 | 375, 496, 360, 431 |
| 2 | 375, 248, 180, 431 |
| 2 | 375, 124, 90, 431 |
| 3 | 375, 62, 45, 431 |
| 5 | 125, 62, 15, 431 |
| 25, 62, 3, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 25 x 62 x 3 x 431 = 480996000
Therefore, the lowest common multiple of 750,992,720,862 is 480996000.
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.
750 x 992 x 720 x 862 = 461756160000
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.
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
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
862 : 1, 2, 431, 862
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,992,720,862, is 2.
Now, the common factors can be found like this.
750:2x 3x 5x 5x 5
992:2x 2x 2x 2x 2x 31
720:2x 2x 2x 2x 3x 3x 5
862:2x 431
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 5 = 480
Therefore, the value for common factors is 480.
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 = 461756160000/(2x480)
LCM = 461756160000/960
LCM = 480996000
Thus, we can understand that the LCM of 750,992,720,862 is 480996000.
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FAQs on LCM of 750, 992, 720, 862
1. What is the LCM of 750, 992, 720, 862?
Answer: LCM of 750, 992, 720, 862 is 480996000.
2. How to calculate the LCM of 750, 992, 720, 862?
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 750, 992, 720, 862.
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}.