Find the LCM of 504, 403, 276, 779, 771 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 504, 403, 276, 779, 771. So, keep reading to learn more.
Given numbers are 504,403,276,779,771
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 504,403,276,779,771 is 935263529928.
Find LCM of 504,403,276,779,771 with Prime Factorization
2 | 504, 403, 276, 779, 771 |
2 | 252, 403, 138, 779, 771 |
3 | 126, 403, 69, 779, 771 |
42, 403, 23, 779, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 42 x 403 x 23 x 779 x 257 = 935263529928
Therefore, the lowest common multiple of 504,403,276,779,771 is 935263529928.
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.
504 x 403 x 276 x 779 x 771 = 33669487077408
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.
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
403 : 1, 13, 31, 403
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
779 : 1, 19, 41, 779
771 : 1, 3, 257, 771
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,403,276,779,771, is 1.
Now, the common factors can be found like this.
504:2x 2x 2x 3x 3x 7
403:13x 31
276:2x 2x 3x 23
779:19x 41
771:3x 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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 33669487077408/(1x36)
LCM = 33669487077408/36
LCM = 935263529928
Thus, we can understand that the LCM of 504,403,276,779,771 is 935263529928.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 504, 403, 276, 779, 771?
Answer: LCM of 504, 403, 276, 779, 771 is 935263529928.
2. How to calculate the LCM of 504, 403, 276, 779, 771?
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 504, 403, 276, 779, 771.
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}.