LCM of 699, 969, 638, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 969, 638, 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 699, 969, 638, 957. So, keep reading to learn more.
Given numbers are 699,969,638,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,969,638,957 is 144045726.
Find LCM of 699,969,638,957 with Prime Factorization
| 3 | 699, 969, 638, 957 |
| 11 | 233, 323, 638, 319 |
| 29 | 233, 323, 58, 29 |
| 233, 323, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 29 x 233 x 323 x 2 x 1 = 144045726
Therefore, the lowest common multiple of 699,969,638,957 is 144045726.
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.
699 x 969 x 638 x 957 = 413555279346
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.
699 : 1, 3, 233, 699
969 : 1, 3, 17, 19, 51, 57, 323, 969
638 : 1, 2, 11, 22, 29, 58, 319, 638
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 699,969,638,957, is 1.
Now, the common factors can be found like this.
699:3x 233
969:3x 17x 19
638:2x 11x 29
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 3x 11x 29 = 2871
Therefore, the value for common factors is 2871.
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 = 413555279346/(1x2871)
LCM = 413555279346/2871
LCM = 144045726
Thus, we can understand that the LCM of 699,969,638,957 is 144045726.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 699, 969, 638, 957
1. What is the LCM of 699, 969, 638, 957?
Answer: LCM of 699, 969, 638, 957 is 144045726.
2. How to calculate the LCM of 699, 969, 638, 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 699, 969, 638, 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}.