LCM of 109, 344, 540, 516, 970
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 109, 344, 540, 516, 970 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 109, 344, 540, 516, 970. So, keep reading to learn more.
Given numbers are 109,344,540,516,970
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 109,344,540,516,970 is 491010120.
Find LCM of 109,344,540,516,970 with Prime Factorization
| 2 | 109, 344, 540, 516, 970 |
| 2 | 109, 172, 270, 258, 485 |
| 3 | 109, 86, 135, 129, 485 |
| 5 | 109, 86, 45, 43, 485 |
| 43 | 109, 86, 9, 43, 97 |
| 109, 2, 9, 1, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 43 x 109 x 2 x 9 x 1 x 97 = 491010120
Therefore, the lowest common multiple of 109,344,540,516,970 is 491010120.
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.
109 x 344 x 540 x 516 x 970 = 10134448876800
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.
109 : 1, 109
344 : 1, 2, 4, 8, 43, 86, 172, 344
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
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
970 : 1, 2, 5, 10, 97, 194, 485, 970
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,344,540,516,970, is 1.
Now, the common factors can be found like this.
109:109
344:2x 2x 2x 43
540:2x 2x 3x 3x 3x 5
516:2x 2x 3x 43
970:2x 5x 97
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 3x 5x 43 = 20640
Therefore, the value for common factors is 20640.
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 = 10134448876800/(1x20640)
LCM = 10134448876800/20640
LCM = 491010120
Thus, we can understand that the LCM of 109,344,540,516,970 is 491010120.
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FAQs on LCM of 109, 344, 540, 516, 970
1. What is the LCM of 109, 344, 540, 516, 970?
Answer: LCM of 109, 344, 540, 516, 970 is 491010120.
2. How to calculate the LCM of 109, 344, 540, 516, 970?
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 109, 344, 540, 516, 970.
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}.