LCM of 922, 475, 729, 969, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 922, 475, 729, 969, 644 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 922, 475, 729, 969, 644. So, keep reading to learn more.
Given numbers are 922,475,729,969,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 922,475,729,969,644 is 1747659620700.
Find LCM of 922,475,729,969,644 with Prime Factorization
| 2 | 922, 475, 729, 969, 644 |
| 3 | 461, 475, 729, 969, 322 |
| 19 | 461, 475, 243, 323, 322 |
| 461, 25, 243, 17, 322 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 461 x 25 x 243 x 17 x 322 = 1747659620700
Therefore, the lowest common multiple of 922,475,729,969,644 is 1747659620700.
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.
922 x 475 x 729 x 969 x 644 = 199233196759800
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.
922 : 1, 2, 461, 922
475 : 1, 5, 19, 25, 95, 475
729 : 1, 3, 9, 27, 81, 243, 729
969 : 1, 3, 17, 19, 51, 57, 323, 969
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,475,729,969,644, is 1.
Now, the common factors can be found like this.
922:2x 461
475:5x 5x 19
729:3x 3x 3x 3x 3x 3
969:3x 17x 19
644:2x 2x 7x 23
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 19 = 114
Therefore, the value for common factors is 114.
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 = 199233196759800/(1x114)
LCM = 199233196759800/114
LCM = 1747659620700
Thus, we can understand that the LCM of 922,475,729,969,644 is 1747659620700.
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FAQs on LCM of 922, 475, 729, 969, 644
1. What is the LCM of 922, 475, 729, 969, 644?
Answer: LCM of 922, 475, 729, 969, 644 is 1747659620700.
2. How to calculate the LCM of 922, 475, 729, 969, 644?
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 922, 475, 729, 969, 644.
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}.