LCM of 677, 754, 893, 962, 754
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 677, 754, 893, 962, 754 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 677, 754, 893, 962, 754. So, keep reading to learn more.
Given numbers are 677,754,893,962,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 677,754,893,962,754 is 16866042778.
Find LCM of 677,754,893,962,754 with Prime Factorization
| 2 | 677, 754, 893, 962, 754 |
| 13 | 677, 377, 893, 481, 377 |
| 29 | 677, 29, 893, 37, 29 |
| 677, 1, 893, 37, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 29 x 677 x 1 x 893 x 37 x 1 = 16866042778
Therefore, the lowest common multiple of 677,754,893,962,754 is 16866042778.
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.
677 x 754 x 893 x 962 x 754 = 330641902619912
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.
677 : 1, 677
754 : 1, 2, 13, 26, 29, 58, 377, 754
893 : 1, 19, 47, 893
962 : 1, 2, 13, 26, 37, 74, 481, 962
754 : 1, 2, 13, 26, 29, 58, 377, 754
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,754,893,962,754, is 1.
Now, the common factors can be found like this.
677:677
754:2x 13x 29
893:19x 47
962:2x 13x 37
754:2x 13x 29
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 13x 13x 29 = 19604
Therefore, the value for common factors is 19604.
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 = 330641902619912/(1x19604)
LCM = 330641902619912/19604
LCM = 16866042778
Thus, we can understand that the LCM of 677,754,893,962,754 is 16866042778.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 677, 754, 893, 962, 754
1. What is the LCM of 677, 754, 893, 962, 754?
Answer: LCM of 677, 754, 893, 962, 754 is 16866042778.
2. How to calculate the LCM of 677, 754, 893, 962, 754?
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 677, 754, 893, 962, 754.
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}.