LCM of 957, 741, 746, 769, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 957, 741, 746, 769, 221 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 957, 741, 746, 769, 221. So, keep reading to learn more.
Given numbers are 957,741,746,769,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,741,746,769,221 is 2305276269582.
Find LCM of 957,741,746,769,221 with Prime Factorization
| 3 | 957, 741, 746, 769, 221 |
| 13 | 319, 247, 746, 769, 221 |
| 319, 19, 746, 769, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 319 x 19 x 746 x 769 x 17 = 2305276269582
Therefore, the lowest common multiple of 957,741,746,769,221 is 2305276269582.
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.
957 x 741 x 746 x 769 x 221 = 89905774513698
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
741 : 1, 3, 13, 19, 39, 57, 247, 741
746 : 1, 2, 373, 746
769 : 1, 769
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,741,746,769,221, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
741:3x 13x 19
746:2x 373
769:769
221:13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13 = 39
Therefore, the value for common factors is 39.
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 = 89905774513698/(1x39)
LCM = 89905774513698/39
LCM = 2305276269582
Thus, we can understand that the LCM of 957,741,746,769,221 is 2305276269582.
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FAQs on LCM of 957, 741, 746, 769, 221
1. What is the LCM of 957, 741, 746, 769, 221?
Answer: LCM of 957, 741, 746, 769, 221 is 2305276269582.
2. How to calculate the LCM of 957, 741, 746, 769, 221?
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 957, 741, 746, 769, 221.
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}.