LCM of 130, 487, 340, 721, 918
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 130, 487, 340, 721, 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 130, 487, 340, 721, 918. So, keep reading to learn more.
Given numbers are 130,487,340,721,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 130,487,340,721,918 is 41903496180.
Find LCM of 130,487,340,721,918 with Prime Factorization
| 2 | 130, 487, 340, 721, 918 |
| 5 | 65, 487, 170, 721, 459 |
| 17 | 13, 487, 34, 721, 459 |
| 13, 487, 2, 721, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 13 x 487 x 2 x 721 x 27 = 41903496180
Therefore, the lowest common multiple of 130,487,340,721,918 is 41903496180.
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.
130 x 487 x 340 x 721 x 918 = 14247188701200
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.
130 : 1, 2, 5, 10, 13, 26, 65, 130
487 : 1, 487
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
721 : 1, 7, 103, 721
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 130,487,340,721,918, is 1.
Now, the common factors can be found like this.
130:2x 5x 13
487:487
340:2x 2x 5x 17
721:7x 103
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 5x 17 = 340
Therefore, the value for common factors is 340.
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 = 14247188701200/(1x340)
LCM = 14247188701200/340
LCM = 41903496180
Thus, we can understand that the LCM of 130,487,340,721,918 is 41903496180.
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FAQs on LCM of 130, 487, 340, 721, 918
1. What is the LCM of 130, 487, 340, 721, 918?
Answer: LCM of 130, 487, 340, 721, 918 is 41903496180.
2. How to calculate the LCM of 130, 487, 340, 721, 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 130, 487, 340, 721, 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}.