Find the LCM of 510, 988, 119, 520, 205 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 510, 988, 119, 520, 205. So, keep reading to learn more.
Given numbers are 510,988,119,520,205
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,988,119,520,205 is 144613560.
Find LCM of 510,988,119,520,205 with Prime Factorization
2 | 510, 988, 119, 520, 205 |
2 | 255, 494, 119, 260, 205 |
5 | 255, 247, 119, 130, 205 |
13 | 51, 247, 119, 26, 41 |
17 | 51, 19, 119, 2, 41 |
3, 19, 7, 2, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 17 x 3 x 19 x 7 x 2 x 41 = 144613560
Therefore, the lowest common multiple of 510,988,119,520,205 is 144613560.
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.
510 x 988 x 119 x 520 x 205 = 6391919352000
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
119 : 1, 7, 17, 119
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
205 : 1, 5, 41, 205
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,988,119,520,205, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
988:2x 2x 13x 19
119:7x 17
520:2x 2x 2x 5x 13
205:5x 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 5x 5x 13x 17 = 44200
Therefore, the value for common factors is 44200.
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 = 6391919352000/(1x44200)
LCM = 6391919352000/44200
LCM = 144613560
Thus, we can understand that the LCM of 510,988,119,520,205 is 144613560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 510, 988, 119, 520, 205?
Answer: LCM of 510, 988, 119, 520, 205 is 144613560.
2. How to calculate the LCM of 510, 988, 119, 520, 205?
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 510, 988, 119, 520, 205.
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}.