Find the LCM of 577, 987, 420, 220, 111 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, 987, 420, 220, 111. So, keep reading to learn more.
Given numbers are 577,987,420,220,111
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 577,987,420,220,111 is 4635721860.
Find LCM of 577,987,420,220,111 with Prime Factorization
2 | 577, 987, 420, 220, 111 |
2 | 577, 987, 210, 110, 111 |
3 | 577, 987, 105, 55, 111 |
5 | 577, 329, 35, 55, 37 |
7 | 577, 329, 7, 11, 37 |
577, 47, 1, 11, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 577 x 47 x 1 x 11 x 37 = 4635721860
Therefore, the lowest common multiple of 577,987,420,220,111 is 4635721860.
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 987 x 420 x 220 x 111 = 5841009543600
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
987 : 1, 3, 7, 21, 47, 141, 329, 987
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
111 : 1, 3, 37, 111
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,987,420,220,111, is 1.
Now, the common factors can be found like this.
577:577
987:3x 7x 47
420:2x 2x 3x 5x 7
220:2x 2x 5x 11
111:3x 37
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 5x 7 = 1260
Therefore, the value for common factors is 1260.
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 = 5841009543600/(1x1260)
LCM = 5841009543600/1260
LCM = 4635721860
Thus, we can understand that the LCM of 577,987,420,220,111 is 4635721860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 577, 987, 420, 220, 111?
Answer: LCM of 577, 987, 420, 220, 111 is 4635721860.
2. How to calculate the LCM of 577, 987, 420, 220, 111?
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, 987, 420, 220, 111.
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}.