Find the LCM of 892, 767, 538, 251, 860 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 892, 767, 538, 251, 860. So, keep reading to learn more.
Given numbers are 892,767,538,251,860
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 892,767,538,251,860 is 9931724859940.
Find LCM of 892,767,538,251,860 with Prime Factorization
2 | 892, 767, 538, 251, 860 |
2 | 446, 767, 269, 251, 430 |
223, 767, 269, 251, 215 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 223 x 767 x 269 x 251 x 215 = 9931724859940
Therefore, the lowest common multiple of 892,767,538,251,860 is 9931724859940.
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.
892 x 767 x 538 x 251 x 860 = 79453798879520
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.
892 : 1, 2, 4, 223, 446, 892
767 : 1, 13, 59, 767
538 : 1, 2, 269, 538
251 : 1, 251
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,767,538,251,860, is 1.
Now, the common factors can be found like this.
892:2x 2x 223
767:13x 59
538:2x 269
251:251
860:2x 2x 5x 43
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 2 = 8
Therefore, the value for common factors is 8.
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 = 79453798879520/(1x8)
LCM = 79453798879520/8
LCM = 9931724859940
Thus, we can understand that the LCM of 892,767,538,251,860 is 9931724859940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 892, 767, 538, 251, 860?
Answer: LCM of 892, 767, 538, 251, 860 is 9931724859940.
2. How to calculate the LCM of 892, 767, 538, 251, 860?
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 892, 767, 538, 251, 860.
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}.