Find the LCM of 874, 291, 817, 871 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 874, 291, 817, 871. So, keep reading to learn more.
Given numbers are 874,291,817,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,291,817,871 is 9525571302.
Find LCM of 874,291,817,871 with Prime Factorization
19 | 874, 291, 817, 871 |
46, 291, 43, 871 |
Multiply the prime numbers at the bottom and the left side.
19 x 46 x 291 x 43 x 871 = 9525571302
Therefore, the lowest common multiple of 874,291,817,871 is 9525571302.
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.
874 x 291 x 817 x 871 = 180985854738
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
291 : 1, 3, 97, 291
817 : 1, 19, 43, 817
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,291,817,871, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
291:3x 97
817:19x 43
871:13x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 180985854738/(1x19)
LCM = 180985854738/19
LCM = 9525571302
Thus, we can understand that the LCM of 874,291,817,871 is 9525571302.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 874, 291, 817, 871?
Answer: LCM of 874, 291, 817, 871 is 9525571302.
2. How to calculate the LCM of 874, 291, 817, 871?
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 874, 291, 817, 871.
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}.