Find the LCM of 567, 959, 681, 411, 607 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 567, 959, 681, 411, 607. So, keep reading to learn more.
Given numbers are 567,959,681,411,607
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,959,681,411,607 is 10703311731.
Find LCM of 567,959,681,411,607 with Prime Factorization
3 | 567, 959, 681, 411, 607 |
7 | 189, 959, 227, 137, 607 |
137 | 27, 137, 227, 137, 607 |
27, 1, 227, 1, 607 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 137 x 27 x 1 x 227 x 1 x 607 = 10703311731
Therefore, the lowest common multiple of 567,959,681,411,607 is 10703311731.
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.
567 x 959 x 681 x 411 x 607 = 92380283550261
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
959 : 1, 7, 137, 959
681 : 1, 3, 227, 681
411 : 1, 3, 137, 411
607 : 1, 607
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,959,681,411,607, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
959:7x 137
681:3x 227
411:3x 137
607:607
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 137 = 8631
Therefore, the value for common factors is 8631.
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 = 92380283550261/(1x8631)
LCM = 92380283550261/8631
LCM = 10703311731
Thus, we can understand that the LCM of 567,959,681,411,607 is 10703311731.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 567, 959, 681, 411, 607?
Answer: LCM of 567, 959, 681, 411, 607 is 10703311731.
2. How to calculate the LCM of 567, 959, 681, 411, 607?
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 567, 959, 681, 411, 607.
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}.