Find the LCM of 991, 779, 287, 369 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 991, 779, 287, 369. So, keep reading to learn more.
Given numbers are 991,779,287,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 991,779,287,369 is 48635307.
Find LCM of 991,779,287,369 with Prime Factorization
41 | 991, 779, 287, 369 |
991, 19, 7, 9 |
Multiply the prime numbers at the bottom and the left side.
41 x 991 x 19 x 7 x 9 = 48635307
Therefore, the lowest common multiple of 991,779,287,369 is 48635307.
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.
991 x 779 x 287 x 369 = 81755951067
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.
991 : 1, 991
779 : 1, 19, 41, 779
287 : 1, 7, 41, 287
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,779,287,369, is 1.
Now, the common factors can be found like this.
991:991
779:19x 41
287:7x 41
369:3x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
41x 41 = 1681
Therefore, the value for common factors is 1681.
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 = 81755951067/(1x1681)
LCM = 81755951067/1681
LCM = 48635307
Thus, we can understand that the LCM of 991,779,287,369 is 48635307.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 991, 779, 287, 369?
Answer: LCM of 991, 779, 287, 369 is 48635307.
2. How to calculate the LCM of 991, 779, 287, 369?
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 991, 779, 287, 369.
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}.