LCM of 491, 255, 527, 791
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 491, 255, 527, 791 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 491, 255, 527, 791. So, keep reading to learn more.
Given numbers are 491,255,527,791
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,255,527,791 is 3070151805.
Find LCM of 491,255,527,791 with Prime Factorization
| 17 | 491, 255, 527, 791 |
| 491, 15, 31, 791 |
Multiply the prime numbers at the bottom and the left side.
17 x 491 x 15 x 31 x 791 = 3070151805
Therefore, the lowest common multiple of 491,255,527,791 is 3070151805.
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.
491 x 255 x 527 x 791 = 52192580685
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.
491 : 1, 491
255 : 1, 3, 5, 15, 17, 51, 85, 255
527 : 1, 17, 31, 527
791 : 1, 7, 113, 791
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,255,527,791, is 1.
Now, the common factors can be found like this.
491:491
255:3x 5x 17
527:17x 31
791:7x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 52192580685/(1x17)
LCM = 52192580685/17
LCM = 3070151805
Thus, we can understand that the LCM of 491,255,527,791 is 3070151805.
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FAQs on LCM of 491, 255, 527, 791
1. What is the LCM of 491, 255, 527, 791?
Answer: LCM of 491, 255, 527, 791 is 3070151805.
2. How to calculate the LCM of 491, 255, 527, 791?
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 491, 255, 527, 791.
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}.