Find the LCM of 924, 874, 851, 409 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 924, 874, 851, 409. So, keep reading to learn more.
Given numbers are 924,874,851,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,874,851,409 is 6110523804.
Find LCM of 924,874,851,409 with Prime Factorization
2 | 924, 874, 851, 409 |
23 | 462, 437, 851, 409 |
462, 19, 37, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 462 x 19 x 37 x 409 = 6110523804
Therefore, the lowest common multiple of 924,874,851,409 is 6110523804.
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.
924 x 874 x 851 x 409 = 281084094984
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.
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
874 : 1, 2, 19, 23, 38, 46, 437, 874
851 : 1, 23, 37, 851
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,874,851,409, is 1.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
874:2x 19x 23
851:23x 37
409:409
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23 = 46
Therefore, the value for common factors is 46.
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 = 281084094984/(1x46)
LCM = 281084094984/46
LCM = 6110523804
Thus, we can understand that the LCM of 924,874,851,409 is 6110523804.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 924, 874, 851, 409?
Answer: LCM of 924, 874, 851, 409 is 6110523804.
2. How to calculate the LCM of 924, 874, 851, 409?
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 924, 874, 851, 409.
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}.