Find the LCM of 577, 236, 288, 706, 547 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 577, 236, 288, 706, 547. So, keep reading to learn more.
Given numbers are 577,236,288,706,547
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 577,236,288,706,547 is 1893138310944.
Find LCM of 577,236,288,706,547 with Prime Factorization
2 | 577, 236, 288, 706, 547 |
2 | 577, 118, 144, 353, 547 |
577, 59, 72, 353, 547 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 577 x 59 x 72 x 353 x 547 = 1893138310944
Therefore, the lowest common multiple of 577,236,288,706,547 is 1893138310944.
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.
577 x 236 x 288 x 706 x 547 = 15145106487552
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.
577 : 1, 577
236 : 1, 2, 4, 59, 118, 236
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
706 : 1, 2, 353, 706
547 : 1, 547
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,236,288,706,547, is 1.
Now, the common factors can be found like this.
577:577
236:2x 2x 59
288:2x 2x 2x 2x 2x 3x 3
706:2x 353
547:547
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 2 = 8
Therefore, the value for common factors is 8.
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 = 15145106487552/(1x8)
LCM = 15145106487552/8
LCM = 1893138310944
Thus, we can understand that the LCM of 577,236,288,706,547 is 1893138310944.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 577, 236, 288, 706, 547?
Answer: LCM of 577, 236, 288, 706, 547 is 1893138310944.
2. How to calculate the LCM of 577, 236, 288, 706, 547?
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 577, 236, 288, 706, 547.
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}.