LCM of 579, 991, 803, 965, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 579, 991, 803, 965, 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 579, 991, 803, 965, 957. So, keep reading to learn more.
Given numbers are 579,991,803,965,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 579,991,803,965,957 is 66809122215.
Find LCM of 579,991,803,965,957 with Prime Factorization
| 3 | 579, 991, 803, 965, 957 |
| 11 | 193, 991, 803, 965, 319 |
| 193 | 193, 991, 73, 965, 29 |
| 1, 991, 73, 5, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 193 x 1 x 991 x 73 x 5 x 29 = 66809122215
Therefore, the lowest common multiple of 579,991,803,965,957 is 66809122215.
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.
579 x 991 x 803 x 965 x 957 = 425507299387335
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.
579 : 1, 3, 193, 579
991 : 1, 991
803 : 1, 11, 73, 803
965 : 1, 5, 193, 965
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 579,991,803,965,957, is 1.
Now, the common factors can be found like this.
579:3x 193
991:991
803:11x 73
965:5x 193
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 11x 193 = 6369
Therefore, the value for common factors is 6369.
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 = 425507299387335/(1x6369)
LCM = 425507299387335/6369
LCM = 66809122215
Thus, we can understand that the LCM of 579,991,803,965,957 is 66809122215.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 579, 991, 803, 965, 957
1. What is the LCM of 579, 991, 803, 965, 957?
Answer: LCM of 579, 991, 803, 965, 957 is 66809122215.
2. How to calculate the LCM of 579, 991, 803, 965, 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 579, 991, 803, 965, 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}.