Find the LCM of 526, 669, 501, 826, 546 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 526, 669, 501, 826, 546. So, keep reading to learn more.
Given numbers are 526,669,501,826,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 526,669,501,826,546 is 315516253962.
Find LCM of 526,669,501,826,546 with Prime Factorization
2 | 526, 669, 501, 826, 546 |
3 | 263, 669, 501, 413, 273 |
7 | 263, 223, 167, 413, 91 |
263, 223, 167, 59, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 263 x 223 x 167 x 59 x 13 = 315516253962
Therefore, the lowest common multiple of 526,669,501,826,546 is 315516253962.
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.
526 x 669 x 501 x 826 x 546 = 79510095998424
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.
526 : 1, 2, 263, 526
669 : 1, 3, 223, 669
501 : 1, 3, 167, 501
826 : 1, 2, 7, 14, 59, 118, 413, 826
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,669,501,826,546, is 1.
Now, the common factors can be found like this.
526:2x 263
669:3x 223
501:3x 167
826:2x 7x 59
546:2x 3x 7x 13
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 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 79510095998424/(1x252)
LCM = 79510095998424/252
LCM = 315516253962
Thus, we can understand that the LCM of 526,669,501,826,546 is 315516253962.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 526, 669, 501, 826, 546?
Answer: LCM of 526, 669, 501, 826, 546 is 315516253962.
2. How to calculate the LCM of 526, 669, 501, 826, 546?
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 526, 669, 501, 826, 546.
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}.