LCM of 362, 200, 904, 510, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 362, 200, 904, 510, 120 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 362, 200, 904, 510, 120. So, keep reading to learn more.
Given numbers are 362,200,904,510,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,200,904,510,120 is 208620600.
Find LCM of 362,200,904,510,120 with Prime Factorization
| 2 | 362, 200, 904, 510, 120 |
| 2 | 181, 100, 452, 255, 60 |
| 2 | 181, 50, 226, 255, 30 |
| 3 | 181, 25, 113, 255, 15 |
| 5 | 181, 25, 113, 85, 5 |
| 181, 1, 113, 17, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 181 x 1 x 113 x 17 x 5 = 208620600
Therefore, the lowest common multiple of 362,200,904,510,120 is 208620600.
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.
362 x 200 x 904 x 510 x 120 = 4005515520000
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.
362 : 1, 2, 181, 362
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
904 : 1, 2, 4, 8, 113, 226, 452, 904
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,200,904,510,120, is 2.
Now, the common factors can be found like this.
362:2x 181
200:2x 2x 2x 5x 5
904:2x 2x 2x 113
510:2x 3x 5x 17
120:2x 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 2x 2x 3x 5x 5 = 9600
Therefore, the value for common factors is 9600.
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 = 4005515520000/(2x9600)
LCM = 4005515520000/19200
LCM = 208620600
Thus, we can understand that the LCM of 362,200,904,510,120 is 208620600.
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FAQs on LCM of 362, 200, 904, 510, 120
1. What is the LCM of 362, 200, 904, 510, 120?
Answer: LCM of 362, 200, 904, 510, 120 is 208620600.
2. How to calculate the LCM of 362, 200, 904, 510, 120?
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 362, 200, 904, 510, 120.
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}.