Find the LCM of 791, 744, 316, 904, 491 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 791, 744, 316, 904, 491. So, keep reading to learn more.
Given numbers are 791,744,316,904,491
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 791,744,316,904,491 is 22827481656.
Find LCM of 791,744,316,904,491 with Prime Factorization
2 | 791, 744, 316, 904, 491 |
2 | 791, 372, 158, 452, 491 |
2 | 791, 186, 79, 226, 491 |
113 | 791, 93, 79, 113, 491 |
7, 93, 79, 1, 491 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 113 x 7 x 93 x 79 x 1 x 491 = 22827481656
Therefore, the lowest common multiple of 791,744,316,904,491 is 22827481656.
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.
791 x 744 x 316 x 904 x 491 = 82544173668096
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.
791 : 1, 7, 113, 791
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
316 : 1, 2, 4, 79, 158, 316
904 : 1, 2, 4, 8, 113, 226, 452, 904
491 : 1, 491
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,744,316,904,491, is 1.
Now, the common factors can be found like this.
791:7x 113
744:2x 2x 2x 3x 31
316:2x 2x 79
904:2x 2x 2x 113
491:491
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 113 = 3616
Therefore, the value for common factors is 3616.
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 = 82544173668096/(1x3616)
LCM = 82544173668096/3616
LCM = 22827481656
Thus, we can understand that the LCM of 791,744,316,904,491 is 22827481656.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 791, 744, 316, 904, 491?
Answer: LCM of 791, 744, 316, 904, 491 is 22827481656.
2. How to calculate the LCM of 791, 744, 316, 904, 491?
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 791, 744, 316, 904, 491.
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}.