LCM of 862, 800, 612, 740, 492
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 862, 800, 612, 740, 492 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 862, 800, 612, 740, 492. So, keep reading to learn more.
Given numbers are 862,800,612,740,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 862,800,612,740,492 is 80028424800.
Find LCM of 862,800,612,740,492 with Prime Factorization
| 2 | 862, 800, 612, 740, 492 |
| 2 | 431, 400, 306, 370, 246 |
| 3 | 431, 200, 153, 185, 123 |
| 5 | 431, 200, 51, 185, 41 |
| 431, 40, 51, 37, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 431 x 40 x 51 x 37 x 41 = 80028424800
Therefore, the lowest common multiple of 862,800,612,740,492 is 80028424800.
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.
862 x 800 x 612 x 740 x 492 = 153654575616000
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.
862 : 1, 2, 431, 862
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,800,612,740,492, is 2.
Now, the common factors can be found like this.
862:2x 431
800:2x 2x 2x 2x 2x 5x 5
612:2x 2x 3x 3x 17
740:2x 2x 5x 37
492:2x 2x 3x 41
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 2x 3x 5 = 960
Therefore, the value for common factors is 960.
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 = 153654575616000/(2x960)
LCM = 153654575616000/1920
LCM = 80028424800
Thus, we can understand that the LCM of 862,800,612,740,492 is 80028424800.
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FAQs on LCM of 862, 800, 612, 740, 492
1. What is the LCM of 862, 800, 612, 740, 492?
Answer: LCM of 862, 800, 612, 740, 492 is 80028424800.
2. How to calculate the LCM of 862, 800, 612, 740, 492?
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 862, 800, 612, 740, 492.
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}.