LCM of 561, 252, 288, 846, 526
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 252, 288, 846, 526 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 561, 252, 288, 846, 526. So, keep reading to learn more.
Given numbers are 561,252,288,846,526
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,252,288,846,526 is 4659998112.
Find LCM of 561,252,288,846,526 with Prime Factorization
| 2 | 561, 252, 288, 846, 526 |
| 2 | 561, 126, 144, 423, 263 |
| 3 | 561, 63, 72, 423, 263 |
| 3 | 187, 21, 24, 141, 263 |
| 187, 7, 8, 47, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 187 x 7 x 8 x 47 x 263 = 4659998112
Therefore, the lowest common multiple of 561,252,288,846,526 is 4659998112.
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.
561 x 252 x 288 x 846 x 526 = 18118072659456
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
526 : 1, 2, 263, 526
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,252,288,846,526, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
252:2x 2x 3x 3x 7
288:2x 2x 2x 2x 2x 3x 3
846:2x 3x 3x 47
526:2x 263
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 3x 3x 3x 3x 3 = 3888
Therefore, the value for common factors is 3888.
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 = 18118072659456/(1x3888)
LCM = 18118072659456/3888
LCM = 4659998112
Thus, we can understand that the LCM of 561,252,288,846,526 is 4659998112.
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FAQs on LCM of 561, 252, 288, 846, 526
1. What is the LCM of 561, 252, 288, 846, 526?
Answer: LCM of 561, 252, 288, 846, 526 is 4659998112.
2. How to calculate the LCM of 561, 252, 288, 846, 526?
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 561, 252, 288, 846, 526.
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}.