LCM of 627, 509, 616, 935, 754
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 509, 616, 935, 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 627, 509, 616, 935, 754. So, keep reading to learn more.
Given numbers are 627,509,616,935,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,509,616,935,754 is 572708496360.
Find LCM of 627,509,616,935,754 with Prime Factorization
| 2 | 627, 509, 616, 935, 754 |
| 11 | 627, 509, 308, 935, 377 |
| 57, 509, 28, 85, 377 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 57 x 509 x 28 x 85 x 377 = 572708496360
Therefore, the lowest common multiple of 627,509,616,935,754 is 572708496360.
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.
627 x 509 x 616 x 935 x 754 = 138595456119120
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
509 : 1, 509
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
935 : 1, 5, 11, 17, 55, 85, 187, 935
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 627,509,616,935,754, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
509:509
616:2x 2x 2x 7x 11
935:5x 11x 17
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 11x 11 = 242
Therefore, the value for common factors is 242.
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 = 138595456119120/(1x242)
LCM = 138595456119120/242
LCM = 572708496360
Thus, we can understand that the LCM of 627,509,616,935,754 is 572708496360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 627, 509, 616, 935, 754
1. What is the LCM of 627, 509, 616, 935, 754?
Answer: LCM of 627, 509, 616, 935, 754 is 572708496360.
2. How to calculate the LCM of 627, 509, 616, 935, 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 627, 509, 616, 935, 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}.