LCM of 901, 712, 873, 424, 970
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 901, 712, 873, 424, 970 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 901, 712, 873, 424, 970. So, keep reading to learn more.
Given numbers are 901,712,873,424,970
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,712,873,424,970 is 2800199880.
Find LCM of 901,712,873,424,970 with Prime Factorization
| 2 | 901, 712, 873, 424, 970 |
| 2 | 901, 356, 873, 212, 485 |
| 2 | 901, 178, 873, 106, 485 |
| 53 | 901, 89, 873, 53, 485 |
| 97 | 17, 89, 873, 1, 485 |
| 17, 89, 9, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 53 x 97 x 17 x 89 x 9 x 1 x 5 = 2800199880
Therefore, the lowest common multiple of 901,712,873,424,970 is 2800199880.
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.
901 x 712 x 873 x 424 x 970 = 230333241329280
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.
901 : 1, 17, 53, 901
712 : 1, 2, 4, 8, 89, 178, 356, 712
873 : 1, 3, 9, 97, 291, 873
424 : 1, 2, 4, 8, 53, 106, 212, 424
970 : 1, 2, 5, 10, 97, 194, 485, 970
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,712,873,424,970, is 1.
Now, the common factors can be found like this.
901:17x 53
712:2x 2x 2x 89
873:3x 3x 97
424:2x 2x 2x 53
970:2x 5x 97
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 53x 97 = 82256
Therefore, the value for common factors is 82256.
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 = 230333241329280/(1x82256)
LCM = 230333241329280/82256
LCM = 2800199880
Thus, we can understand that the LCM of 901,712,873,424,970 is 2800199880.
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FAQs on LCM of 901, 712, 873, 424, 970
1. What is the LCM of 901, 712, 873, 424, 970?
Answer: LCM of 901, 712, 873, 424, 970 is 2800199880.
2. How to calculate the LCM of 901, 712, 873, 424, 970?
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 901, 712, 873, 424, 970.
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}.