Find the LCM of 526, 526, 724, 697 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, 526, 724, 697. So, keep reading to learn more.
Given numbers are 526,526,724,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 526,526,724,697 is 132717164.
Find LCM of 526,526,724,697 with Prime Factorization
2 | 526, 526, 724, 697 |
263 | 263, 263, 362, 697 |
1, 1, 362, 697 |
Multiply the prime numbers at the bottom and the left side.
2 x 263 x 1 x 1 x 362 x 697 = 132717164
Therefore, the lowest common multiple of 526,526,724,697 is 132717164.
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 526 x 724 x 697 = 139618456528
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
526 : 1, 2, 263, 526
724 : 1, 2, 4, 181, 362, 724
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,526,724,697, is 1.
Now, the common factors can be found like this.
526:2x 263
526:2x 263
724:2x 2x 181
697:17x 41
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 263 = 1052
Therefore, the value for common factors is 1052.
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 = 139618456528/(1x1052)
LCM = 139618456528/1052
LCM = 132717164
Thus, we can understand that the LCM of 526,526,724,697 is 132717164.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 526, 526, 724, 697?
Answer: LCM of 526, 526, 724, 697 is 132717164.
2. How to calculate the LCM of 526, 526, 724, 697?
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, 526, 724, 697.
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}.