Find the LCM of 878, 520, 930, 665, 365 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 878, 520, 930, 665, 365. So, keep reading to learn more.
Given numbers are 878,520,930,665,365
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 878,520,930,665,365 is 206122458360.
Find LCM of 878,520,930,665,365 with Prime Factorization
2 | 878, 520, 930, 665, 365 |
5 | 439, 260, 465, 665, 365 |
439, 52, 93, 133, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 439 x 52 x 93 x 133 x 73 = 206122458360
Therefore, the lowest common multiple of 878,520,930,665,365 is 206122458360.
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.
878 x 520 x 930 x 665 x 365 = 103061229180000
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.
878 : 1, 2, 439, 878
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
665 : 1, 5, 7, 19, 35, 95, 133, 665
365 : 1, 5, 73, 365
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,520,930,665,365, is 1.
Now, the common factors can be found like this.
878:2x 439
520:2x 2x 2x 5x 13
930:2x 3x 5x 31
665:5x 7x 19
365:5x 73
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 5x 5x 5 = 500
Therefore, the value for common factors is 500.
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 = 103061229180000/(1x500)
LCM = 103061229180000/500
LCM = 206122458360
Thus, we can understand that the LCM of 878,520,930,665,365 is 206122458360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 878, 520, 930, 665, 365?
Answer: LCM of 878, 520, 930, 665, 365 is 206122458360.
2. How to calculate the LCM of 878, 520, 930, 665, 365?
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 878, 520, 930, 665, 365.
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}.