Find the LCM of 906, 871, 314, 612, 980 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 906, 871, 314, 612, 980. So, keep reading to learn more.
Given numbers are 906,871,314,612,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,871,314,612,980 is 3096080622180.
Find LCM of 906,871,314,612,980 with Prime Factorization
2 | 906, 871, 314, 612, 980 |
2 | 453, 871, 157, 306, 490 |
3 | 453, 871, 157, 153, 245 |
151, 871, 157, 51, 245 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 151 x 871 x 157 x 51 x 245 = 3096080622180
Therefore, the lowest common multiple of 906,871,314,612,980 is 3096080622180.
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.
906 x 871 x 314 x 612 x 980 = 148611869864640
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
871 : 1, 13, 67, 871
314 : 1, 2, 157, 314
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,871,314,612,980, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
871:13x 67
314:2x 157
612:2x 2x 3x 3x 17
980:2x 2x 5x 7x 7
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 2x 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 148611869864640/(1x48)
LCM = 148611869864640/48
LCM = 3096080622180
Thus, we can understand that the LCM of 906,871,314,612,980 is 3096080622180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 906, 871, 314, 612, 980?
Answer: LCM of 906, 871, 314, 612, 980 is 3096080622180.
2. How to calculate the LCM of 906, 871, 314, 612, 980?
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 906, 871, 314, 612, 980.
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}.