LCM of 193, 377, 871, 754, 123
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 193, 377, 871, 754, 123 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 193, 377, 871, 754, 123. So, keep reading to learn more.
Given numbers are 193,377,871,754,123
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 193,377,871,754,123 is 1199246802.
Find LCM of 193,377,871,754,123 with Prime Factorization
| 13 | 193, 377, 871, 754, 123 |
| 29 | 193, 29, 67, 58, 123 |
| 193, 1, 67, 2, 123 |
Multiply the prime numbers at the bottom and the left side.
13 x 29 x 193 x 1 x 67 x 2 x 123 = 1199246802
Therefore, the lowest common multiple of 193,377,871,754,123 is 1199246802.
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.
193 x 377 x 871 x 754 x 123 = 5877508576602
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.
193 : 1, 193
377 : 1, 13, 29, 377
871 : 1, 13, 67, 871
754 : 1, 2, 13, 26, 29, 58, 377, 754
123 : 1, 3, 41, 123
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,377,871,754,123, is 1.
Now, the common factors can be found like this.
193:193
377:13x 29
871:13x 67
754:2x 13x 29
123:3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13x 29 = 4901
Therefore, the value for common factors is 4901.
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 = 5877508576602/(1x4901)
LCM = 5877508576602/4901
LCM = 1199246802
Thus, we can understand that the LCM of 193,377,871,754,123 is 1199246802.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 193, 377, 871, 754, 123
1. What is the LCM of 193, 377, 871, 754, 123?
Answer: LCM of 193, 377, 871, 754, 123 is 1199246802.
2. How to calculate the LCM of 193, 377, 871, 754, 123?
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 193, 377, 871, 754, 123.
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}.