LCM of 914, 848, 636, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 848, 636, 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 914, 848, 636, 514. So, keep reading to learn more.
Given numbers are 914,848,636,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,848,636,514 is 298790256.
Find LCM of 914,848,636,514 with Prime Factorization
| 2 | 914, 848, 636, 514 |
| 2 | 457, 424, 318, 257 |
| 53 | 457, 212, 159, 257 |
| 457, 4, 3, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 53 x 457 x 4 x 3 x 257 = 298790256
Therefore, the lowest common multiple of 914,848,636,514 is 298790256.
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.
914 x 848 x 636 x 514 = 253374137088
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.
914 : 1, 2, 457, 914
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
514 : 1, 2, 257, 514
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,848,636,514, is 2.
Now, the common factors can be found like this.
914:2x 457
848:2x 2x 2x 2x 53
636:2x 2x 3x 53
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 2x 2x 53 = 424
Therefore, the value for common factors is 424.
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 = 253374137088/(2x424)
LCM = 253374137088/848
LCM = 298790256
Thus, we can understand that the LCM of 914,848,636,514 is 298790256.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 914, 848, 636, 514
1. What is the LCM of 914, 848, 636, 514?
Answer: LCM of 914, 848, 636, 514 is 298790256.
2. How to calculate the LCM of 914, 848, 636, 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 914, 848, 636, 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}.