LCM of 541, 380, 817, 516, 919
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 541, 380, 817, 516, 919 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 541, 380, 817, 516, 919. So, keep reading to learn more.
Given numbers are 541,380,817,516,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 541,380,817,516,919 is 24371714580.
Find LCM of 541,380,817,516,919 with Prime Factorization
| 2 | 541, 380, 817, 516, 919 |
| 2 | 541, 190, 817, 258, 919 |
| 19 | 541, 95, 817, 129, 919 |
| 43 | 541, 5, 43, 129, 919 |
| 541, 5, 1, 3, 919 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 43 x 541 x 5 x 1 x 3 x 919 = 24371714580
Therefore, the lowest common multiple of 541,380,817,516,919 is 24371714580.
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.
541 x 380 x 817 x 516 x 919 = 79646763247440
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.
541 : 1, 541
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
817 : 1, 19, 43, 817
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,380,817,516,919, is 1.
Now, the common factors can be found like this.
541:541
380:2x 2x 5x 19
817:19x 43
516:2x 2x 3x 43
919:919
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 19x 43 = 3268
Therefore, the value for common factors is 3268.
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 = 79646763247440/(1x3268)
LCM = 79646763247440/3268
LCM = 24371714580
Thus, we can understand that the LCM of 541,380,817,516,919 is 24371714580.
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FAQs on LCM of 541, 380, 817, 516, 919
1. What is the LCM of 541, 380, 817, 516, 919?
Answer: LCM of 541, 380, 817, 516, 919 is 24371714580.
2. How to calculate the LCM of 541, 380, 817, 516, 919?
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 541, 380, 817, 516, 919.
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}.