LCM of 559, 858, 572, 672, 548
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 559, 858, 572, 672, 548 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 559, 858, 572, 672, 548. So, keep reading to learn more.
Given numbers are 559,858,572,672,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 559,858,572,672,548 is 566101536.
Find LCM of 559,858,572,672,548 with Prime Factorization
| 2 | 559, 858, 572, 672, 548 |
| 2 | 559, 429, 286, 336, 274 |
| 3 | 559, 429, 143, 168, 137 |
| 11 | 559, 143, 143, 56, 137 |
| 13 | 559, 13, 13, 56, 137 |
| 43, 1, 1, 56, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 43 x 1 x 1 x 56 x 137 = 566101536
Therefore, the lowest common multiple of 559,858,572,672,548 is 566101536.
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.
559 x 858 x 572 x 672 x 548 = 101028744520704
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.
559 : 1, 13, 43, 559
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
548 : 1, 2, 4, 137, 274, 548
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,858,572,672,548, is 1.
Now, the common factors can be found like this.
559:13x 43
858:2x 3x 11x 13
572:2x 2x 11x 13
672:2x 2x 2x 2x 2x 3x 7
548:2x 2x 137
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 11x 13x 13 = 178464
Therefore, the value for common factors is 178464.
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 = 101028744520704/(1x178464)
LCM = 101028744520704/178464
LCM = 566101536
Thus, we can understand that the LCM of 559,858,572,672,548 is 566101536.
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FAQs on LCM of 559, 858, 572, 672, 548
1. What is the LCM of 559, 858, 572, 672, 548?
Answer: LCM of 559, 858, 572, 672, 548 is 566101536.
2. How to calculate the LCM of 559, 858, 572, 672, 548?
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 559, 858, 572, 672, 548.
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}.