LCM of 253, 854, 843, 966, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 854, 843, 966, 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 253, 854, 843, 966, 847. So, keep reading to learn more.
Given numbers are 253,854,843,966,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,854,843,966,847 is 2003542926.
Find LCM of 253,854,843,966,847 with Prime Factorization
| 2 | 253, 854, 843, 966, 847 |
| 3 | 253, 427, 843, 483, 847 |
| 7 | 253, 427, 281, 161, 847 |
| 11 | 253, 61, 281, 23, 121 |
| 23 | 23, 61, 281, 23, 11 |
| 1, 61, 281, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 23 x 1 x 61 x 281 x 1 x 11 = 2003542926
Therefore, the lowest common multiple of 253,854,843,966,847 is 2003542926.
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.
253 x 854 x 843 x 966 x 847 = 149027529921732
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.
253 : 1, 11, 23, 253
854 : 1, 2, 7, 14, 61, 122, 427, 854
843 : 1, 3, 281, 843
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
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 253,854,843,966,847, is 1.
Now, the common factors can be found like this.
253:11x 23
854:2x 7x 61
843:3x 281
966:2x 3x 7x 23
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.
2x 3x 7x 7x 11x 23 = 74382
Therefore, the value for common factors is 74382.
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 = 149027529921732/(1x74382)
LCM = 149027529921732/74382
LCM = 2003542926
Thus, we can understand that the LCM of 253,854,843,966,847 is 2003542926.
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FAQs on LCM of 253, 854, 843, 966, 847
1. What is the LCM of 253, 854, 843, 966, 847?
Answer: LCM of 253, 854, 843, 966, 847 is 2003542926.
2. How to calculate the LCM of 253, 854, 843, 966, 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 253, 854, 843, 966, 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}.