LCM of 241, 663, 741, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 241, 663, 741, 975 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 241, 663, 741, 975. So, keep reading to learn more.
Given numbers are 241,663,741,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 241,663,741,975 is 75896925.
Find LCM of 241,663,741,975 with Prime Factorization
| 3 | 241, 663, 741, 975 |
| 13 | 241, 221, 247, 325 |
| 241, 17, 19, 25 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 241 x 17 x 19 x 25 = 75896925
Therefore, the lowest common multiple of 241,663,741,975 is 75896925.
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.
241 x 663 x 741 x 975 = 115439222925
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.
241 : 1, 241
663 : 1, 3, 13, 17, 39, 51, 221, 663
741 : 1, 3, 13, 19, 39, 57, 247, 741
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,663,741,975, is 1.
Now, the common factors can be found like this.
241:241
663:3x 13x 17
741:3x 13x 19
975:3x 5x 5x 13
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 13x 13 = 1521
Therefore, the value for common factors is 1521.
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 = 115439222925/(1x1521)
LCM = 115439222925/1521
LCM = 75896925
Thus, we can understand that the LCM of 241,663,741,975 is 75896925.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 241, 663, 741, 975
1. What is the LCM of 241, 663, 741, 975?
Answer: LCM of 241, 663, 741, 975 is 75896925.
2. How to calculate the LCM of 241, 663, 741, 975?
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 241, 663, 741, 975.
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}.