LCM of 491, 168, 576, 569, 804
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 491, 168, 576, 569, 804 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 491, 168, 576, 569, 804. So, keep reading to learn more.
Given numbers are 491,168,576,569,804
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,168,576,569,804 is 75472560576.
Find LCM of 491,168,576,569,804 with Prime Factorization
| 2 | 491, 168, 576, 569, 804 |
| 2 | 491, 84, 288, 569, 402 |
| 2 | 491, 42, 144, 569, 201 |
| 3 | 491, 21, 72, 569, 201 |
| 491, 7, 24, 569, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 491 x 7 x 24 x 569 x 67 = 75472560576
Therefore, the lowest common multiple of 491,168,576,569,804 is 75472560576.
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.
491 x 168 x 576 x 569 x 804 = 21736097445888
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.
491 : 1, 491
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
569 : 1, 569
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,168,576,569,804, is 1.
Now, the common factors can be found like this.
491:491
168:2x 2x 2x 3x 7
576:2x 2x 2x 2x 2x 2x 3x 3
569:569
804:2x 2x 3x 67
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 3 = 288
Therefore, the value for common factors is 288.
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 = 21736097445888/(1x288)
LCM = 21736097445888/288
LCM = 75472560576
Thus, we can understand that the LCM of 491,168,576,569,804 is 75472560576.
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FAQs on LCM of 491, 168, 576, 569, 804
1. What is the LCM of 491, 168, 576, 569, 804?
Answer: LCM of 491, 168, 576, 569, 804 is 75472560576.
2. How to calculate the LCM of 491, 168, 576, 569, 804?
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 491, 168, 576, 569, 804.
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}.