Find the LCM of 874, 892, 723, 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 874, 892, 723, 514. So, keep reading to learn more.
Given numbers are 874,892,723,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,892,723,514 is 72429871044.
Find LCM of 874,892,723,514 with Prime Factorization
2 | 874, 892, 723, 514 |
437, 446, 723, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 437 x 446 x 723 x 257 = 72429871044
Therefore, the lowest common multiple of 874,892,723,514 is 72429871044.
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.
874 x 892 x 723 x 514 = 289719484176
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
892 : 1, 2, 4, 223, 446, 892
723 : 1, 3, 241, 723
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,892,723,514, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
892:2x 2x 223
723:3x 241
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 2 = 4
Therefore, the value for common factors is 4.
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 = 289719484176/(1x4)
LCM = 289719484176/4
LCM = 72429871044
Thus, we can understand that the LCM of 874,892,723,514 is 72429871044.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 874, 892, 723, 514?
Answer: LCM of 874, 892, 723, 514 is 72429871044.
2. How to calculate the LCM of 874, 892, 723, 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 874, 892, 723, 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}.