LCM of 561, 760, 946, 942, 296
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 760, 946, 942, 296 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 561, 760, 946, 942, 296. So, keep reading to learn more.
Given numbers are 561,760,946,942,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,760,946,942,296 is 106499185320.
Find LCM of 561,760,946,942,296 with Prime Factorization
| 2 | 561, 760, 946, 942, 296 |
| 2 | 561, 380, 473, 471, 148 |
| 2 | 561, 190, 473, 471, 74 |
| 3 | 561, 95, 473, 471, 37 |
| 11 | 187, 95, 473, 157, 37 |
| 17, 95, 43, 157, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 17 x 95 x 43 x 157 x 37 = 106499185320
Therefore, the lowest common multiple of 561,760,946,942,296 is 106499185320.
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.
561 x 760 x 946 x 942 x 296 = 112463139697920
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
946 : 1, 2, 11, 22, 43, 86, 473, 946
942 : 1, 2, 3, 6, 157, 314, 471, 942
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,760,946,942,296, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
760:2x 2x 2x 5x 19
946:2x 11x 43
942:2x 3x 157
296:2x 2x 2x 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 2x 2x 2x 3x 11 = 1056
Therefore, the value for common factors is 1056.
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 = 112463139697920/(1x1056)
LCM = 112463139697920/1056
LCM = 106499185320
Thus, we can understand that the LCM of 561,760,946,942,296 is 106499185320.
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FAQs on LCM of 561, 760, 946, 942, 296
1. What is the LCM of 561, 760, 946, 942, 296?
Answer: LCM of 561, 760, 946, 942, 296 is 106499185320.
2. How to calculate the LCM of 561, 760, 946, 942, 296?
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 561, 760, 946, 942, 296.
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}.