LCM of 261, 294, 576, 206, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 261, 294, 576, 206, 748 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 261, 294, 576, 206, 748. So, keep reading to learn more.
Given numbers are 261,294,576,206,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 261,294,576,206,748 is 15765051456.
Find LCM of 261,294,576,206,748 with Prime Factorization
| 2 | 261, 294, 576, 206, 748 |
| 2 | 261, 147, 288, 103, 374 |
| 3 | 261, 147, 144, 103, 187 |
| 3 | 87, 49, 48, 103, 187 |
| 29, 49, 16, 103, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 29 x 49 x 16 x 103 x 187 = 15765051456
Therefore, the lowest common multiple of 261,294,576,206,748 is 15765051456.
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.
261 x 294 x 576 x 206 x 748 = 6810502228992
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.
261 : 1, 3, 9, 29, 87, 261
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
206 : 1, 2, 103, 206
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,294,576,206,748, is 1.
Now, the common factors can be found like this.
261:3x 3x 29
294:2x 3x 7x 7
576:2x 2x 2x 2x 2x 2x 3x 3
206:2x 103
748:2x 2x 11x 17
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 3 = 432
Therefore, the value for common factors is 432.
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 = 6810502228992/(1x432)
LCM = 6810502228992/432
LCM = 15765051456
Thus, we can understand that the LCM of 261,294,576,206,748 is 15765051456.
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FAQs on LCM of 261, 294, 576, 206, 748
1. What is the LCM of 261, 294, 576, 206, 748?
Answer: LCM of 261, 294, 576, 206, 748 is 15765051456.
2. How to calculate the LCM of 261, 294, 576, 206, 748?
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 261, 294, 576, 206, 748.
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}.