Find the LCM of 649, 671, 228, 865 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 649, 671, 228, 865. So, keep reading to learn more.
Given numbers are 649,671,228,865
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,671,228,865 is 7807742580.
Find LCM of 649,671,228,865 with Prime Factorization
11 | 649, 671, 228, 865 |
59, 61, 228, 865 |
Multiply the prime numbers at the bottom and the left side.
11 x 59 x 61 x 228 x 865 = 7807742580
Therefore, the lowest common multiple of 649,671,228,865 is 7807742580.
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.
649 x 671 x 228 x 865 = 85885168380
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.
649 : 1, 11, 59, 649
671 : 1, 11, 61, 671
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
865 : 1, 5, 173, 865
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,671,228,865, is 1.
Now, the common factors can be found like this.
649:11x 59
671:11x 61
228:2x 2x 3x 19
865:5x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 85885168380/(1x11)
LCM = 85885168380/11
LCM = 7807742580
Thus, we can understand that the LCM of 649,671,228,865 is 7807742580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 649, 671, 228, 865?
Answer: LCM of 649, 671, 228, 865 is 7807742580.
2. How to calculate the LCM of 649, 671, 228, 865?
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 649, 671, 228, 865.
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}.