LCM of 981, 509, 685, 540, 335
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 981, 509, 685, 540, 335 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 981, 509, 685, 540, 335. So, keep reading to learn more.
Given numbers are 981,509,685,540,335
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 981,509,685,540,335 is 275000453460.
Find LCM of 981,509,685,540,335 with Prime Factorization
| 3 | 981, 509, 685, 540, 335 |
| 3 | 327, 509, 685, 180, 335 |
| 5 | 109, 509, 685, 60, 335 |
| 109, 509, 137, 12, 67 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 109 x 509 x 137 x 12 x 67 = 275000453460
Therefore, the lowest common multiple of 981,509,685,540,335 is 275000453460.
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.
981 x 509 x 685 x 540 x 335 = 61875102028500
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.
981 : 1, 3, 9, 109, 327, 981
509 : 1, 509
685 : 1, 5, 137, 685
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
335 : 1, 5, 67, 335
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,509,685,540,335, is 1.
Now, the common factors can be found like this.
981:3x 3x 109
509:509
685:5x 137
540:2x 2x 3x 3x 3x 5
335:5x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5 = 225
Therefore, the value for common factors is 225.
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 = 61875102028500/(1x225)
LCM = 61875102028500/225
LCM = 275000453460
Thus, we can understand that the LCM of 981,509,685,540,335 is 275000453460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 981, 509, 685, 540, 335
1. What is the LCM of 981, 509, 685, 540, 335?
Answer: LCM of 981, 509, 685, 540, 335 is 275000453460.
2. How to calculate the LCM of 981, 509, 685, 540, 335?
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 981, 509, 685, 540, 335.
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}.