Find the LCM of 762, 754, 117, 913, 454 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 762, 754, 117, 913, 454. So, keep reading to learn more.
Given numbers are 762,754,117,913,454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,754,117,913,454 is 178613471322.
Find LCM of 762,754,117,913,454 with Prime Factorization
2 | 762, 754, 117, 913, 454 |
3 | 381, 377, 117, 913, 227 |
13 | 127, 377, 39, 913, 227 |
127, 29, 3, 913, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 127 x 29 x 3 x 913 x 227 = 178613471322
Therefore, the lowest common multiple of 762,754,117,913,454 is 178613471322.
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.
762 x 754 x 117 x 913 x 454 = 27863701526232
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
754 : 1, 2, 13, 26, 29, 58, 377, 754
117 : 1, 3, 9, 13, 39, 117
913 : 1, 11, 83, 913
454 : 1, 2, 227, 454
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,754,117,913,454, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
754:2x 13x 29
117:3x 3x 13
913:11x 83
454:2x 227
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 27863701526232/(1x156)
LCM = 27863701526232/156
LCM = 178613471322
Thus, we can understand that the LCM of 762,754,117,913,454 is 178613471322.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 762, 754, 117, 913, 454?
Answer: LCM of 762, 754, 117, 913, 454 is 178613471322.
2. How to calculate the LCM of 762, 754, 117, 913, 454?
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 762, 754, 117, 913, 454.
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}.