LCM of 564, 192, 561, 645, 274
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 564, 192, 561, 645, 274 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 564, 192, 561, 645, 274. So, keep reading to learn more.
Given numbers are 564,192,561,645,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,192,561,645,274 is 49704959040.
Find LCM of 564,192,561,645,274 with Prime Factorization
| 2 | 564, 192, 561, 645, 274 |
| 2 | 282, 96, 561, 645, 137 |
| 3 | 141, 48, 561, 645, 137 |
| 47, 16, 187, 215, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 47 x 16 x 187 x 215 x 137 = 49704959040
Therefore, the lowest common multiple of 564,192,561,645,274 is 49704959040.
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.
564 x 192 x 561 x 645 x 274 = 10736271152640
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
561 : 1, 3, 11, 17, 33, 51, 187, 561
645 : 1, 3, 5, 15, 43, 129, 215, 645
274 : 1, 2, 137, 274
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,192,561,645,274, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
192:2x 2x 2x 2x 2x 2x 3
561:3x 11x 17
645:3x 5x 43
274:2x 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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 10736271152640/(1x216)
LCM = 10736271152640/216
LCM = 49704959040
Thus, we can understand that the LCM of 564,192,561,645,274 is 49704959040.
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FAQs on LCM of 564, 192, 561, 645, 274
1. What is the LCM of 564, 192, 561, 645, 274?
Answer: LCM of 564, 192, 561, 645, 274 is 49704959040.
2. How to calculate the LCM of 564, 192, 561, 645, 274?
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 564, 192, 561, 645, 274.
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}.