LCM of 429, 907, 882, 823, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 907, 882, 823, 847 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 429, 907, 882, 823, 847. So, keep reading to learn more.
Given numbers are 429,907,882,823,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,907,882,823,847 is 1035629540946.
Find LCM of 429,907,882,823,847 with Prime Factorization
| 3 | 429, 907, 882, 823, 847 |
| 7 | 143, 907, 294, 823, 847 |
| 11 | 143, 907, 42, 823, 121 |
| 13, 907, 42, 823, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 13 x 907 x 42 x 823 x 11 = 1035629540946
Therefore, the lowest common multiple of 429,907,882,823,847 is 1035629540946.
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.
429 x 907 x 882 x 823 x 847 = 239230423958526
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
907 : 1, 907
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
823 : 1, 823
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,907,882,823,847, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
907:907
882:2x 3x 3x 7x 7
823:823
847:7x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 11 = 231
Therefore, the value for common factors is 231.
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 = 239230423958526/(1x231)
LCM = 239230423958526/231
LCM = 1035629540946
Thus, we can understand that the LCM of 429,907,882,823,847 is 1035629540946.
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FAQs on LCM of 429, 907, 882, 823, 847
1. What is the LCM of 429, 907, 882, 823, 847?
Answer: LCM of 429, 907, 882, 823, 847 is 1035629540946.
2. How to calculate the LCM of 429, 907, 882, 823, 847?
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 429, 907, 882, 823, 847.
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}.