LCM of 988, 946, 540, 918
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 946, 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 988, 946, 540, 918. So, keep reading to learn more.
Given numbers are 988,946,540,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,946,540,918 is 1072508580.
Find LCM of 988,946,540,918 with Prime Factorization
| 2 | 988, 946, 540, 918 |
| 2 | 494, 473, 270, 459 |
| 3 | 247, 473, 135, 459 |
| 3 | 247, 473, 45, 153 |
| 3 | 247, 473, 15, 51 |
| 247, 473, 5, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 247 x 473 x 5 x 17 = 1072508580
Therefore, the lowest common multiple of 988,946,540,918 is 1072508580.
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.
988 x 946 x 540 x 918 = 463323706560
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
946 : 1, 2, 11, 22, 43, 86, 473, 946
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 988,946,540,918, is 2.
Now, the common factors can be found like this.
988:2x 2x 13x 19
946:2x 11x 43
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 2x 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 463323706560/(2x216)
LCM = 463323706560/432
LCM = 1072508580
Thus, we can understand that the LCM of 988,946,540,918 is 1072508580.
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FAQs on LCM of 988, 946, 540, 918
1. What is the LCM of 988, 946, 540, 918?
Answer: LCM of 988, 946, 540, 918 is 1072508580.
2. How to calculate the LCM of 988, 946, 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 988, 946, 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}.