Find the LCM of 970, 771, 180, 481, 564 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 970, 771, 180, 481, 564. So, keep reading to learn more.
Given numbers are 970,771,180,481,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,771,180,481,564 is 101442582540.
Find LCM of 970,771,180,481,564 with Prime Factorization
2 | 970, 771, 180, 481, 564 |
2 | 485, 771, 90, 481, 282 |
3 | 485, 771, 45, 481, 141 |
5 | 485, 257, 15, 481, 47 |
97, 257, 3, 481, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 97 x 257 x 3 x 481 x 47 = 101442582540
Therefore, the lowest common multiple of 970,771,180,481,564 is 101442582540.
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.
970 x 771 x 180 x 481 x 564 = 36519329714400
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.
970 : 1, 2, 5, 10, 97, 194, 485, 970
771 : 1, 3, 257, 771
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
481 : 1, 13, 37, 481
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,771,180,481,564, is 1.
Now, the common factors can be found like this.
970:2x 5x 97
771:3x 257
180:2x 2x 3x 3x 5
481:13x 37
564:2x 2x 3x 47
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 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 36519329714400/(1x360)
LCM = 36519329714400/360
LCM = 101442582540
Thus, we can understand that the LCM of 970,771,180,481,564 is 101442582540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 970, 771, 180, 481, 564?
Answer: LCM of 970, 771, 180, 481, 564 is 101442582540.
2. How to calculate the LCM of 970, 771, 180, 481, 564?
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 970, 771, 180, 481, 564.
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}.