LCM of 918, 340, 985, 600, 527
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 918, 340, 985, 600, 527 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 918, 340, 985, 600, 527. So, keep reading to learn more.
Given numbers are 918,340,985,600,527
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 918,340,985,600,527 is 560622600.
Find LCM of 918,340,985,600,527 with Prime Factorization
| 2 | 918, 340, 985, 600, 527 |
| 2 | 459, 170, 985, 300, 527 |
| 3 | 459, 85, 985, 150, 527 |
| 5 | 153, 85, 985, 50, 527 |
| 17 | 153, 17, 197, 10, 527 |
| 9, 1, 197, 10, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 9 x 1 x 197 x 10 x 31 = 560622600
Therefore, the lowest common multiple of 918,340,985,600,527 is 560622600.
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.
918 x 340 x 985 x 600 x 527 = 97211958840000
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.
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
985 : 1, 5, 197, 985
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
527 : 1, 17, 31, 527
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 918,340,985,600,527, is 1.
Now, the common factors can be found like this.
918:2x 3x 3x 3x 17
340:2x 2x 5x 17
985:5x 197
600:2x 2x 2x 3x 5x 5
527:17x 31
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 2x 3x 5x 5x 17x 17 = 173400
Therefore, the value for common factors is 173400.
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 = 97211958840000/(1x173400)
LCM = 97211958840000/173400
LCM = 560622600
Thus, we can understand that the LCM of 918,340,985,600,527 is 560622600.
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FAQs on LCM of 918, 340, 985, 600, 527
1. What is the LCM of 918, 340, 985, 600, 527?
Answer: LCM of 918, 340, 985, 600, 527 is 560622600.
2. How to calculate the LCM of 918, 340, 985, 600, 527?
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 918, 340, 985, 600, 527.
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}.