LCM of 496, 558, 171, 571, 541
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 496, 558, 171, 571, 541 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 496, 558, 171, 571, 541. So, keep reading to learn more.
Given numbers are 496,558,171,571,541
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 496,558,171,571,541 is 26200595376.
Find LCM of 496,558,171,571,541 with Prime Factorization
| 2 | 496, 558, 171, 571, 541 |
| 3 | 248, 279, 171, 571, 541 |
| 3 | 248, 93, 57, 571, 541 |
| 31 | 248, 31, 19, 571, 541 |
| 8, 1, 19, 571, 541 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 31 x 8 x 1 x 19 x 571 x 541 = 26200595376
Therefore, the lowest common multiple of 496,558,171,571,541 is 26200595376.
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.
496 x 558 x 171 x 571 x 541 = 14619932219808
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.
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
171 : 1, 3, 9, 19, 57, 171
571 : 1, 571
541 : 1, 541
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,558,171,571,541, is 1.
Now, the common factors can be found like this.
496:2x 2x 2x 2x 31
558:2x 3x 3x 31
171:3x 3x 19
571:571
541:541
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 31 = 558
Therefore, the value for common factors is 558.
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 = 14619932219808/(1x558)
LCM = 14619932219808/558
LCM = 26200595376
Thus, we can understand that the LCM of 496,558,171,571,541 is 26200595376.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 496, 558, 171, 571, 541
1. What is the LCM of 496, 558, 171, 571, 541?
Answer: LCM of 496, 558, 171, 571, 541 is 26200595376.
2. How to calculate the LCM of 496, 558, 171, 571, 541?
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 496, 558, 171, 571, 541.
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}.