LCM of 511, 735, 876, 461, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 511, 735, 876, 461, 514 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 511, 735, 876, 461, 514. So, keep reading to learn more.
Given numbers are 511,735,876,461,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 511,735,876,461,514 is 25427533740.
Find LCM of 511,735,876,461,514 with Prime Factorization
| 2 | 511, 735, 876, 461, 514 |
| 3 | 511, 735, 438, 461, 257 |
| 7 | 511, 245, 146, 461, 257 |
| 73 | 73, 35, 146, 461, 257 |
| 1, 35, 2, 461, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 73 x 1 x 35 x 2 x 461 x 257 = 25427533740
Therefore, the lowest common multiple of 511,735,876,461,514 is 25427533740.
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.
511 x 735 x 876 x 461 x 514 = 77960818446840
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.
511 : 1, 7, 73, 511
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
461 : 1, 461
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,735,876,461,514, is 1.
Now, the common factors can be found like this.
511:7x 73
735:3x 5x 7x 7
876:2x 2x 3x 73
461:461
514:2x 257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 73 = 3066
Therefore, the value for common factors is 3066.
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 = 77960818446840/(1x3066)
LCM = 77960818446840/3066
LCM = 25427533740
Thus, we can understand that the LCM of 511,735,876,461,514 is 25427533740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 511, 735, 876, 461, 514
1. What is the LCM of 511, 735, 876, 461, 514?
Answer: LCM of 511, 735, 876, 461, 514 is 25427533740.
2. How to calculate the LCM of 511, 735, 876, 461, 514?
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 511, 735, 876, 461, 514.
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}.