LCM of 294, 457, 289, 270, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 294, 457, 289, 270, 567 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 294, 457, 289, 270, 567. So, keep reading to learn more.
Given numbers are 294,457,289,270,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 294,457,289,270,567 is 5241977370.
Find LCM of 294,457,289,270,567 with Prime Factorization
| 2 | 294, 457, 289, 270, 567 |
| 3 | 147, 457, 289, 135, 567 |
| 3 | 49, 457, 289, 45, 189 |
| 3 | 49, 457, 289, 15, 63 |
| 7 | 49, 457, 289, 5, 21 |
| 7, 457, 289, 5, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 7 x 457 x 289 x 5 x 3 = 5241977370
Therefore, the lowest common multiple of 294,457,289,270,567 is 5241977370.
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.
294 x 457 x 289 x 270 x 567 = 5944402337580
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.
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
457 : 1, 457
289 : 1, 17, 289
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,457,289,270,567, is 1.
Now, the common factors can be found like this.
294:2x 3x 7x 7
457:457
289:17x 17
270:2x 3x 3x 3x 5
567:3x 3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 7 = 1134
Therefore, the value for common factors is 1134.
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 = 5944402337580/(1x1134)
LCM = 5944402337580/1134
LCM = 5241977370
Thus, we can understand that the LCM of 294,457,289,270,567 is 5241977370.
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FAQs on LCM of 294, 457, 289, 270, 567
1. What is the LCM of 294, 457, 289, 270, 567?
Answer: LCM of 294, 457, 289, 270, 567 is 5241977370.
2. How to calculate the LCM of 294, 457, 289, 270, 567?
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 294, 457, 289, 270, 567.
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}.