LCM of 516, 560, 311, 735, 242
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 516, 560, 311, 735, 242 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 516, 560, 311, 735, 242. So, keep reading to learn more.
Given numbers are 516,560,311,735,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 516,560,311,735,242 is 19029244080.
Find LCM of 516,560,311,735,242 with Prime Factorization
| 2 | 516, 560, 311, 735, 242 |
| 2 | 258, 280, 311, 735, 121 |
| 3 | 129, 140, 311, 735, 121 |
| 5 | 43, 140, 311, 245, 121 |
| 7 | 43, 28, 311, 49, 121 |
| 43, 4, 311, 7, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 43 x 4 x 311 x 7 x 121 = 19029244080
Therefore, the lowest common multiple of 516,560,311,735,242 is 19029244080.
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.
516 x 560 x 311 x 735 x 242 = 15984565027200
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.
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
311 : 1, 311
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,560,311,735,242, is 1.
Now, the common factors can be found like this.
516:2x 2x 3x 43
560:2x 2x 2x 2x 5x 7
311:311
735:3x 5x 7x 7
242:2x 11x 11
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 5x 7 = 840
Therefore, the value for common factors is 840.
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 = 15984565027200/(1x840)
LCM = 15984565027200/840
LCM = 19029244080
Thus, we can understand that the LCM of 516,560,311,735,242 is 19029244080.
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FAQs on LCM of 516, 560, 311, 735, 242
1. What is the LCM of 516, 560, 311, 735, 242?
Answer: LCM of 516, 560, 311, 735, 242 is 19029244080.
2. How to calculate the LCM of 516, 560, 311, 735, 242?
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 516, 560, 311, 735, 242.
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}.