LCM of 514, 302, 604, 933
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 302, 604, 933 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 514, 302, 604, 933. So, keep reading to learn more.
Given numbers are 514,302,604,933
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,302,604,933 is 144827724.
Find LCM of 514,302,604,933 with Prime Factorization
| 2 | 514, 302, 604, 933 |
| 151 | 257, 151, 302, 933 |
| 257, 1, 2, 933 |
Multiply the prime numbers at the bottom and the left side.
2 x 151 x 257 x 1 x 2 x 933 = 144827724
Therefore, the lowest common multiple of 514,302,604,933 is 144827724.
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.
514 x 302 x 604 x 933 = 87475945296
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.
514 : 1, 2, 257, 514
302 : 1, 2, 151, 302
604 : 1, 2, 4, 151, 302, 604
933 : 1, 3, 311, 933
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,302,604,933, is 1.
Now, the common factors can be found like this.
514:2x 257
302:2x 151
604:2x 2x 151
933:3x 311
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 151 = 604
Therefore, the value for common factors is 604.
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 = 87475945296/(1x604)
LCM = 87475945296/604
LCM = 144827724
Thus, we can understand that the LCM of 514,302,604,933 is 144827724.
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FAQs on LCM of 514, 302, 604, 933
1. What is the LCM of 514, 302, 604, 933?
Answer: LCM of 514, 302, 604, 933 is 144827724.
2. How to calculate the LCM of 514, 302, 604, 933?
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 514, 302, 604, 933.
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}.