LCM of 882, 648, 722, 772, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 648, 722, 772, 314 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 882, 648, 722, 772, 314. So, keep reading to learn more.
Given numbers are 882,648,722,772,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,648,722,772,314 is 347324364072.
Find LCM of 882,648,722,772,314 with Prime Factorization
| 2 | 882, 648, 722, 772, 314 |
| 2 | 441, 324, 361, 386, 157 |
| 3 | 441, 162, 361, 193, 157 |
| 3 | 147, 54, 361, 193, 157 |
| 49, 18, 361, 193, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 49 x 18 x 361 x 193 x 157 = 347324364072
Therefore, the lowest common multiple of 882,648,722,772,314 is 347324364072.
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.
882 x 648 x 722 x 772 x 314 = 100029416852736
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
722 : 1, 2, 19, 38, 361, 722
772 : 1, 2, 4, 193, 386, 772
314 : 1, 2, 157, 314
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,648,722,772,314, is 2.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
648:2x 2x 2x 3x 3x 3x 3
722:2x 19x 19
772:2x 2x 193
314:2x 157
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 3 = 144
Therefore, the value for common factors is 144.
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 = 100029416852736/(2x144)
LCM = 100029416852736/288
LCM = 347324364072
Thus, we can understand that the LCM of 882,648,722,772,314 is 347324364072.
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FAQs on LCM of 882, 648, 722, 772, 314
1. What is the LCM of 882, 648, 722, 772, 314?
Answer: LCM of 882, 648, 722, 772, 314 is 347324364072.
2. How to calculate the LCM of 882, 648, 722, 772, 314?
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 882, 648, 722, 772, 314.
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}.