Find the LCM of 514, 275, 483, 924 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, 275, 483, 924. So, keep reading to learn more.
Given numbers are 514,275,483,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,275,483,924 is 136544100.
Find LCM of 514,275,483,924 with Prime Factorization
2 | 514, 275, 483, 924 |
3 | 257, 275, 483, 462 |
7 | 257, 275, 161, 154 |
11 | 257, 275, 23, 22 |
257, 25, 23, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 257 x 25 x 23 x 2 = 136544100
Therefore, the lowest common multiple of 514,275,483,924 is 136544100.
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 275 x 483 x 924 = 63083374200
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
275 : 1, 5, 11, 25, 55, 275
483 : 1, 3, 7, 21, 23, 69, 161, 483
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,275,483,924, is 1.
Now, the common factors can be found like this.
514:2x 257
275:5x 5x 11
483:3x 7x 23
924:2x 2x 3x 7x 11
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 11 = 462
Therefore, the value for common factors is 462.
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 = 63083374200/(1x462)
LCM = 63083374200/462
LCM = 136544100
Thus, we can understand that the LCM of 514,275,483,924 is 136544100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 514, 275, 483, 924?
Answer: LCM of 514, 275, 483, 924 is 136544100.
2. How to calculate the LCM of 514, 275, 483, 924?
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, 275, 483, 924.
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}.