LCM of 276, 172, 598, 682, 440
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 276, 172, 598, 682, 440 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 276, 172, 598, 682, 440. So, keep reading to learn more.
Given numbers are 276,172,598,682,440
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 276,172,598,682,440 is 526108440.
Find LCM of 276,172,598,682,440 with Prime Factorization
| 2 | 276, 172, 598, 682, 440 |
| 2 | 138, 86, 299, 341, 220 |
| 11 | 69, 43, 299, 341, 110 |
| 23 | 69, 43, 299, 31, 10 |
| 3, 43, 13, 31, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 23 x 3 x 43 x 13 x 31 x 10 = 526108440
Therefore, the lowest common multiple of 276,172,598,682,440 is 526108440.
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.
276 x 172 x 598 x 682 x 440 = 8518747860480
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.
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
172 : 1, 2, 4, 43, 86, 172
598 : 1, 2, 13, 23, 26, 46, 299, 598
682 : 1, 2, 11, 22, 31, 62, 341, 682
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,172,598,682,440, is 2.
Now, the common factors can be found like this.
276:2x 2x 3x 23
172:2x 2x 43
598:2x 13x 23
682:2x 11x 31
440:2x 2x 2x 5x 11
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 11x 23 = 8096
Therefore, the value for common factors is 8096.
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 = 8518747860480/(2x8096)
LCM = 8518747860480/16192
LCM = 526108440
Thus, we can understand that the LCM of 276,172,598,682,440 is 526108440.
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FAQs on LCM of 276, 172, 598, 682, 440
1. What is the LCM of 276, 172, 598, 682, 440?
Answer: LCM of 276, 172, 598, 682, 440 is 526108440.
2. How to calculate the LCM of 276, 172, 598, 682, 440?
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 276, 172, 598, 682, 440.
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}.