LCM of 541, 456, 558, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 541, 456, 558, 741 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, 456, 558, 741. So, keep reading to learn more.
Given numbers are 541,456,558,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 541,456,558,741 is 298255464.
Find LCM of 541,456,558,741 with Prime Factorization
| 2 | 541, 456, 558, 741 |
| 3 | 541, 228, 279, 741 |
| 19 | 541, 76, 93, 247 |
| 541, 4, 93, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 541 x 4 x 93 x 13 = 298255464
Therefore, the lowest common multiple of 541,456,558,741 is 298255464.
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 456 x 558 x 741 = 102003368688
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
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,456,558,741, is 1.
Now, the common factors can be found like this.
541:541
456:2x 2x 2x 3x 19
558:2x 3x 3x 31
741:3x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 19 = 342
Therefore, the value for common factors is 342.
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 = 102003368688/(1x342)
LCM = 102003368688/342
LCM = 298255464
Thus, we can understand that the LCM of 541,456,558,741 is 298255464.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 541, 456, 558, 741
1. What is the LCM of 541, 456, 558, 741?
Answer: LCM of 541, 456, 558, 741 is 298255464.
2. How to calculate the LCM of 541, 456, 558, 741?
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, 456, 558, 741.
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}.