LCM of 241, 754, 957, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 241, 754, 957, 936 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, 754, 957, 936. So, keep reading to learn more.
Given numbers are 241,754,957,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 241,754,957,936 is 71958744.
Find LCM of 241,754,957,936 with Prime Factorization
| 2 | 241, 754, 957, 936 |
| 3 | 241, 377, 957, 468 |
| 13 | 241, 377, 319, 156 |
| 29 | 241, 29, 319, 12 |
| 241, 1, 11, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 29 x 241 x 1 x 11 x 12 = 71958744
Therefore, the lowest common multiple of 241,754,957,936 is 71958744.
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 754 x 957 x 936 = 162770678928
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
754 : 1, 2, 13, 26, 29, 58, 377, 754
957 : 1, 3, 11, 29, 33, 87, 319, 957
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,754,957,936, is 1.
Now, the common factors can be found like this.
241:241
754:2x 13x 29
957:3x 11x 29
936:2x 2x 2x 3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 29 = 2262
Therefore, the value for common factors is 2262.
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 = 162770678928/(1x2262)
LCM = 162770678928/2262
LCM = 71958744
Thus, we can understand that the LCM of 241,754,957,936 is 71958744.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 241, 754, 957, 936
1. What is the LCM of 241, 754, 957, 936?
Answer: LCM of 241, 754, 957, 936 is 71958744.
2. How to calculate the LCM of 241, 754, 957, 936?
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, 754, 957, 936.
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}.