Find the LCM of 952, 851, 171, 788, 896 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 952, 851, 171, 788, 896. So, keep reading to learn more.
Given numbers are 952,851,171,788,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 952,851,171,788,896 is 436665446784.
Find LCM of 952,851,171,788,896 with Prime Factorization
2 | 952, 851, 171, 788, 896 |
2 | 476, 851, 171, 394, 448 |
2 | 238, 851, 171, 197, 224 |
7 | 119, 851, 171, 197, 112 |
17, 851, 171, 197, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 17 x 851 x 171 x 197 x 16 = 436665446784
Therefore, the lowest common multiple of 952,851,171,788,896 is 436665446784.
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.
952 x 851 x 171 x 788 x 896 = 97813060079616
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.
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
851 : 1, 23, 37, 851
171 : 1, 3, 9, 19, 57, 171
788 : 1, 2, 4, 197, 394, 788
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,851,171,788,896, is 1.
Now, the common factors can be found like this.
952:2x 2x 2x 7x 17
851:23x 37
171:3x 3x 19
788:2x 2x 197
896:2x 2x 2x 2x 2x 2x 2x 7
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 = 97813060079616/(1x224)
LCM = 97813060079616/224
LCM = 436665446784
Thus, we can understand that the LCM of 952,851,171,788,896 is 436665446784.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 952, 851, 171, 788, 896?
Answer: LCM of 952, 851, 171, 788, 896 is 436665446784.
2. How to calculate the LCM of 952, 851, 171, 788, 896?
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 952, 851, 171, 788, 896.
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}.