LCM of 491, 514, 393, 975, 771
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 491, 514, 393, 975, 771 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, 514, 393, 975, 771. So, keep reading to learn more.
Given numbers are 491,514,393,975,771
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,514,393,975,771 is 32234469150.
Find LCM of 491,514,393,975,771 with Prime Factorization
| 3 | 491, 514, 393, 975, 771 |
| 257 | 491, 514, 131, 325, 257 |
| 491, 2, 131, 325, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 257 x 491 x 2 x 131 x 325 x 1 = 32234469150
Therefore, the lowest common multiple of 491,514,393,975,771 is 32234469150.
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 514 x 393 x 975 x 771 = 74558327143950
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
514 : 1, 2, 257, 514
393 : 1, 3, 131, 393
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
771 : 1, 3, 257, 771
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,514,393,975,771, is 1.
Now, the common factors can be found like this.
491:491
514:2x 257
393:3x 131
975:3x 5x 5x 13
771:3x 257
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 257 = 2313
Therefore, the value for common factors is 2313.
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 = 74558327143950/(1x2313)
LCM = 74558327143950/2313
LCM = 32234469150
Thus, we can understand that the LCM of 491,514,393,975,771 is 32234469150.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 491, 514, 393, 975, 771
1. What is the LCM of 491, 514, 393, 975, 771?
Answer: LCM of 491, 514, 393, 975, 771 is 32234469150.
2. How to calculate the LCM of 491, 514, 393, 975, 771?
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, 514, 393, 975, 771.
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}.