Find the LCM of 552, 500, 241, 210, 241 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 552, 500, 241, 210, 241. So, keep reading to learn more.
Given numbers are 552,500,241,210,241
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,500,241,210,241 is 116403000.
Find LCM of 552,500,241,210,241 with Prime Factorization
2 | 552, 500, 241, 210, 241 |
2 | 276, 250, 241, 105, 241 |
3 | 138, 125, 241, 105, 241 |
5 | 46, 125, 241, 35, 241 |
241 | 46, 25, 241, 7, 241 |
46, 25, 1, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 241 x 46 x 25 x 1 x 7 x 1 = 116403000
Therefore, the lowest common multiple of 552,500,241,210,241 is 116403000.
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.
552 x 500 x 241 x 210 x 241 = 3366374760000
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.
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
241 : 1, 241
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
241 : 1, 241
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,500,241,210,241, is 1.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
500:2x 2x 5x 5x 5
241:241
210:2x 3x 5x 7
241:241
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 3x 5x 241 = 28920
Therefore, the value for common factors is 28920.
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 = 3366374760000/(1x28920)
LCM = 3366374760000/28920
LCM = 116403000
Thus, we can understand that the LCM of 552,500,241,210,241 is 116403000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 552, 500, 241, 210, 241?
Answer: LCM of 552, 500, 241, 210, 241 is 116403000.
2. How to calculate the LCM of 552, 500, 241, 210, 241?
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 552, 500, 241, 210, 241.
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}.