Find the LCM of 964, 847, 904, 866, 476 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 964, 847, 904, 866, 476. So, keep reading to learn more.
Given numbers are 964,847,904,866,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,847,904,866,476 is 1358331277688.
Find LCM of 964,847,904,866,476 with Prime Factorization
2 | 964, 847, 904, 866, 476 |
2 | 482, 847, 452, 433, 238 |
7 | 241, 847, 226, 433, 119 |
241, 121, 226, 433, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 241 x 121 x 226 x 433 x 17 = 1358331277688
Therefore, the lowest common multiple of 964,847,904,866,476 is 1358331277688.
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.
964 x 847 x 904 x 866 x 476 = 304266206202112
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.
964 : 1, 2, 4, 241, 482, 964
847 : 1, 7, 11, 77, 121, 847
904 : 1, 2, 4, 8, 113, 226, 452, 904
866 : 1, 2, 433, 866
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,847,904,866,476, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
847:7x 11x 11
904:2x 2x 2x 113
866:2x 433
476:2x 2x 7x 17
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 7 = 224
Therefore, the value for common factors is 224.
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 = 304266206202112/(1x224)
LCM = 304266206202112/224
LCM = 1358331277688
Thus, we can understand that the LCM of 964,847,904,866,476 is 1358331277688.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 964, 847, 904, 866, 476?
Answer: LCM of 964, 847, 904, 866, 476 is 1358331277688.
2. How to calculate the LCM of 964, 847, 904, 866, 476?
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 964, 847, 904, 866, 476.
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}.