LCM of 542, 544, 918, 130, 908
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 542, 544, 918, 130, 908 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 542, 544, 918, 130, 908. So, keep reading to learn more.
Given numbers are 542,544,918,130,908
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 542,544,918,130,908 is 58731510240.
Find LCM of 542,544,918,130,908 with Prime Factorization
| 2 | 542, 544, 918, 130, 908 |
| 2 | 271, 272, 459, 65, 454 |
| 17 | 271, 136, 459, 65, 227 |
| 271, 8, 27, 65, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 271 x 8 x 27 x 65 x 227 = 58731510240
Therefore, the lowest common multiple of 542,544,918,130,908 is 58731510240.
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.
542 x 544 x 918 x 130 x 908 = 31949941570560
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.
542 : 1, 2, 271, 542
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
130 : 1, 2, 5, 10, 13, 26, 65, 130
908 : 1, 2, 4, 227, 454, 908
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,544,918,130,908, is 2.
Now, the common factors can be found like this.
542:2x 271
544:2x 2x 2x 2x 2x 17
918:2x 3x 3x 3x 17
130:2x 5x 13
908:2x 2x 227
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 2x 17 = 272
Therefore, the value for common factors is 272.
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 = 31949941570560/(2x272)
LCM = 31949941570560/544
LCM = 58731510240
Thus, we can understand that the LCM of 542,544,918,130,908 is 58731510240.
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FAQs on LCM of 542, 544, 918, 130, 908
1. What is the LCM of 542, 544, 918, 130, 908?
Answer: LCM of 542, 544, 918, 130, 908 is 58731510240.
2. How to calculate the LCM of 542, 544, 918, 130, 908?
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 542, 544, 918, 130, 908.
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}.