LCM of 508, 371, 527, 385, 918
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 371, 527, 385, 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 508, 371, 527, 385, 918. So, keep reading to learn more.
Given numbers are 508,371,527,385,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,371,527,385,918 is 147494114460.
Find LCM of 508,371,527,385,918 with Prime Factorization
| 2 | 508, 371, 527, 385, 918 |
| 7 | 254, 371, 527, 385, 459 |
| 17 | 254, 53, 527, 55, 459 |
| 254, 53, 31, 55, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 254 x 53 x 31 x 55 x 27 = 147494114460
Therefore, the lowest common multiple of 508,371,527,385,918 is 147494114460.
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.
508 x 371 x 527 x 385 x 918 = 35103599241480
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.
508 : 1, 2, 4, 127, 254, 508
371 : 1, 7, 53, 371
527 : 1, 17, 31, 527
385 : 1, 5, 7, 11, 35, 55, 77, 385
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,371,527,385,918, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
371:7x 53
527:17x 31
385:5x 7x 11
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 7x 17 = 238
Therefore, the value for common factors is 238.
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 = 35103599241480/(1x238)
LCM = 35103599241480/238
LCM = 147494114460
Thus, we can understand that the LCM of 508,371,527,385,918 is 147494114460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 508, 371, 527, 385, 918
1. What is the LCM of 508, 371, 527, 385, 918?
Answer: LCM of 508, 371, 527, 385, 918 is 147494114460.
2. How to calculate the LCM of 508, 371, 527, 385, 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 508, 371, 527, 385, 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}.