LCM of 983, 948, 900, 927, 518
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 983, 948, 900, 927, 518 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 983, 948, 900, 927, 518. So, keep reading to learn more.
Given numbers are 983,948,900,927,518
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 983,948,900,927,518 is 1864490210100.
Find LCM of 983,948,900,927,518 with Prime Factorization
| 2 | 983, 948, 900, 927, 518 |
| 2 | 983, 474, 450, 927, 259 |
| 3 | 983, 237, 225, 927, 259 |
| 3 | 983, 79, 75, 309, 259 |
| 983, 79, 25, 103, 259 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 983 x 79 x 25 x 103 x 259 = 1864490210100
Therefore, the lowest common multiple of 983,948,900,927,518 is 1864490210100.
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.
983 x 948 x 900 x 927 x 518 = 402729885381600
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.
983 : 1, 983
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
927 : 1, 3, 9, 103, 309, 927
518 : 1, 2, 7, 14, 37, 74, 259, 518
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,948,900,927,518, is 1.
Now, the common factors can be found like this.
983:983
948:2x 2x 3x 79
900:2x 2x 3x 3x 5x 5
927:3x 3x 103
518:2x 7x 37
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 402729885381600/(1x216)
LCM = 402729885381600/216
LCM = 1864490210100
Thus, we can understand that the LCM of 983,948,900,927,518 is 1864490210100.
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FAQs on LCM of 983, 948, 900, 927, 518
1. What is the LCM of 983, 948, 900, 927, 518?
Answer: LCM of 983, 948, 900, 927, 518 is 1864490210100.
2. How to calculate the LCM of 983, 948, 900, 927, 518?
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 983, 948, 900, 927, 518.
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}.