Find the LCM of 486, 561, 548, 748, 754 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 486, 561, 548, 748, 754. So, keep reading to learn more.
Given numbers are 486,561,548,748,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,561,548,748,754 is 9387928836.
Find LCM of 486,561,548,748,754 with Prime Factorization
2 | 486, 561, 548, 748, 754 |
2 | 243, 561, 274, 374, 377 |
3 | 243, 561, 137, 187, 377 |
11 | 81, 187, 137, 187, 377 |
17 | 81, 17, 137, 17, 377 |
81, 1, 137, 1, 377 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 81 x 1 x 137 x 1 x 377 = 9387928836
Therefore, the lowest common multiple of 486,561,548,748,754 is 9387928836.
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.
486 x 561 x 548 x 748 x 754 = 84266049231936
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
561 : 1, 3, 11, 17, 33, 51, 187, 561
548 : 1, 2, 4, 137, 274, 548
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
754 : 1, 2, 13, 26, 29, 58, 377, 754
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,561,548,748,754, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
561:3x 11x 17
548:2x 2x 137
748:2x 2x 11x 17
754:2x 13x 29
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 2x 2x 3x 11x 17 = 8976
Therefore, the value for common factors is 8976.
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 = 84266049231936/(1x8976)
LCM = 84266049231936/8976
LCM = 9387928836
Thus, we can understand that the LCM of 486,561,548,748,754 is 9387928836.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 486, 561, 548, 748, 754?
Answer: LCM of 486, 561, 548, 748, 754 is 9387928836.
2. How to calculate the LCM of 486, 561, 548, 748, 754?
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 486, 561, 548, 748, 754.
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}.