LCM of 667, 245, 889, 966, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 245, 889, 966, 957 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 667, 245, 889, 966, 957. So, keep reading to learn more.
Given numbers are 667,245,889,966,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,245,889,966,957 is 1369744530.
Find LCM of 667,245,889,966,957 with Prime Factorization
| 3 | 667, 245, 889, 966, 957 |
| 7 | 667, 245, 889, 322, 319 |
| 23 | 667, 35, 127, 46, 319 |
| 29 | 29, 35, 127, 2, 319 |
| 1, 35, 127, 2, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 23 x 29 x 1 x 35 x 127 x 2 x 11 = 1369744530
Therefore, the lowest common multiple of 667,245,889,966,957 is 1369744530.
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.
667 x 245 x 889 x 966 x 957 = 134302081421970
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.
667 : 1, 23, 29, 667
245 : 1, 5, 7, 35, 49, 245
889 : 1, 7, 127, 889
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,245,889,966,957, is 1.
Now, the common factors can be found like this.
667:23x 29
245:5x 7x 7
889:7x 127
966:2x 3x 7x 23
957:3x 11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7x 23x 29 = 98049
Therefore, the value for common factors is 98049.
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 = 134302081421970/(1x98049)
LCM = 134302081421970/98049
LCM = 1369744530
Thus, we can understand that the LCM of 667,245,889,966,957 is 1369744530.
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FAQs on LCM of 667, 245, 889, 966, 957
1. What is the LCM of 667, 245, 889, 966, 957?
Answer: LCM of 667, 245, 889, 966, 957 is 1369744530.
2. How to calculate the LCM of 667, 245, 889, 966, 957?
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 667, 245, 889, 966, 957.
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}.