LCM of 970, 773, 935, 923, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 970, 773, 935, 923, 578 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, 773, 935, 923, 578. So, keep reading to learn more.
Given numbers are 970,773,935,923,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,773,935,923,578 is 2200105248770.
Find LCM of 970,773,935,923,578 with Prime Factorization
| 2 | 970, 773, 935, 923, 578 |
| 5 | 485, 773, 935, 923, 289 |
| 17 | 97, 773, 187, 923, 289 |
| 97, 773, 11, 923, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 97 x 773 x 11 x 923 x 17 = 2200105248770
Therefore, the lowest common multiple of 970,773,935,923,578 is 2200105248770.
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 773 x 935 x 923 x 578 = 374017892290900
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
773 : 1, 773
935 : 1, 5, 11, 17, 55, 85, 187, 935
923 : 1, 13, 71, 923
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,773,935,923,578, is 1.
Now, the common factors can be found like this.
970:2x 5x 97
773:773
935:5x 11x 17
923:13x 71
578:2x 17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 17 = 170
Therefore, the value for common factors is 170.
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 = 374017892290900/(1x170)
LCM = 374017892290900/170
LCM = 2200105248770
Thus, we can understand that the LCM of 970,773,935,923,578 is 2200105248770.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 970, 773, 935, 923, 578
1. What is the LCM of 970, 773, 935, 923, 578?
Answer: LCM of 970, 773, 935, 923, 578 is 2200105248770.
2. How to calculate the LCM of 970, 773, 935, 923, 578?
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, 773, 935, 923, 578.
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}.