LCM of 754, 514, 540, 918
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 754, 514, 540, 918 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 754, 514, 540, 918. So, keep reading to learn more.
Given numbers are 754,514,540,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,514,540,918 is 889441020.
Find LCM of 754,514,540,918 with Prime Factorization
| 2 | 754, 514, 540, 918 |
| 3 | 377, 257, 270, 459 |
| 3 | 377, 257, 90, 153 |
| 3 | 377, 257, 30, 51 |
| 377, 257, 10, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 377 x 257 x 10 x 17 = 889441020
Therefore, the lowest common multiple of 754,514,540,918 is 889441020.
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.
754 x 514 x 540 x 918 = 192119260320
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.
754 : 1, 2, 13, 26, 29, 58, 377, 754
514 : 1, 2, 257, 514
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,514,540,918, is 2.
Now, the common factors can be found like this.
754:2x 13x 29
514:2x 257
540:2x 2x 3x 3x 3x 5
918:2x 3x 3x 3x 17
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 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 192119260320/(2x108)
LCM = 192119260320/216
LCM = 889441020
Thus, we can understand that the LCM of 754,514,540,918 is 889441020.
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FAQs on LCM of 754, 514, 540, 918
1. What is the LCM of 754, 514, 540, 918?
Answer: LCM of 754, 514, 540, 918 is 889441020.
2. How to calculate the LCM of 754, 514, 540, 918?
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 754, 514, 540, 918.
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}.