LCM of 557, 786, 754, 921, 137
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 557, 786, 754, 921, 137 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 557, 786, 754, 921, 137. So, keep reading to learn more.
Given numbers are 557,786,754,921,137
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 557,786,754,921,137 is 6941894897886.
Find LCM of 557,786,754,921,137 with Prime Factorization
| 2 | 557, 786, 754, 921, 137 |
| 3 | 557, 393, 377, 921, 137 |
| 557, 131, 377, 307, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 557 x 131 x 377 x 307 x 137 = 6941894897886
Therefore, the lowest common multiple of 557,786,754,921,137 is 6941894897886.
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.
557 x 786 x 754 x 921 x 137 = 41651369387316
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.
557 : 1, 557
786 : 1, 2, 3, 6, 131, 262, 393, 786
754 : 1, 2, 13, 26, 29, 58, 377, 754
921 : 1, 3, 307, 921
137 : 1, 137
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,786,754,921,137, is 1.
Now, the common factors can be found like this.
557:557
786:2x 3x 131
754:2x 13x 29
921:3x 307
137:137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 41651369387316/(1x6)
LCM = 41651369387316/6
LCM = 6941894897886
Thus, we can understand that the LCM of 557,786,754,921,137 is 6941894897886.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 557, 786, 754, 921, 137
1. What is the LCM of 557, 786, 754, 921, 137?
Answer: LCM of 557, 786, 754, 921, 137 is 6941894897886.
2. How to calculate the LCM of 557, 786, 754, 921, 137?
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 557, 786, 754, 921, 137.
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}.