LCM of 561, 965, 690, 870, 193
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 965, 690, 870, 193 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, 965, 690, 870, 193. So, keep reading to learn more.
Given numbers are 561,965,690,870,193
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,965,690,870,193 is 722180910.
Find LCM of 561,965,690,870,193 with Prime Factorization
| 2 | 561, 965, 690, 870, 193 |
| 3 | 561, 965, 345, 435, 193 |
| 5 | 187, 965, 115, 145, 193 |
| 193 | 187, 193, 23, 29, 193 |
| 187, 1, 23, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 193 x 187 x 1 x 23 x 29 x 1 = 722180910
Therefore, the lowest common multiple of 561,965,690,870,193 is 722180910.
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 965 x 690 x 870 x 193 = 62721412033500
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
965 : 1, 5, 193, 965
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
193 : 1, 193
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,965,690,870,193, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
965:5x 193
690:2x 3x 5x 23
870:2x 3x 5x 29
193:193
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 3x 5x 5x 193 = 86850
Therefore, the value for common factors is 86850.
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 = 62721412033500/(1x86850)
LCM = 62721412033500/86850
LCM = 722180910
Thus, we can understand that the LCM of 561,965,690,870,193 is 722180910.
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FAQs on LCM of 561, 965, 690, 870, 193
1. What is the LCM of 561, 965, 690, 870, 193?
Answer: LCM of 561, 965, 690, 870, 193 is 722180910.
2. How to calculate the LCM of 561, 965, 690, 870, 193?
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, 965, 690, 870, 193.
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}.