Find the LCM of 390, 715, 841, 975 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 390, 715, 841, 975. So, keep reading to learn more.
Given numbers are 390,715,841,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,715,841,975 is 18039450.
Find LCM of 390,715,841,975 with Prime Factorization
3 | 390, 715, 841, 975 |
5 | 130, 715, 841, 325 |
13 | 26, 143, 841, 65 |
2, 11, 841, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 2 x 11 x 841 x 5 = 18039450
Therefore, the lowest common multiple of 390,715,841,975 is 18039450.
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.
390 x 715 x 841 x 975 = 228650028750
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.
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
715 : 1, 5, 11, 13, 55, 65, 143, 715
841 : 1, 29, 841
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,715,841,975, is 1.
Now, the common factors can be found like this.
390:2x 3x 5x 13
715:5x 11x 13
841:29x 29
975:3x 5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 13x 13 = 12675
Therefore, the value for common factors is 12675.
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 = 228650028750/(1x12675)
LCM = 228650028750/12675
LCM = 18039450
Thus, we can understand that the LCM of 390,715,841,975 is 18039450.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 390, 715, 841, 975?
Answer: LCM of 390, 715, 841, 975 is 18039450.
2. How to calculate the LCM of 390, 715, 841, 975?
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 390, 715, 841, 975.
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}.