LCM of 659, 420, 399, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 659, 420, 399, 988 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 659, 420, 399, 988. So, keep reading to learn more.
Given numbers are 659,420,399,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 659,420,399,988 is 68364660.
Find LCM of 659,420,399,988 with Prime Factorization
| 2 | 659, 420, 399, 988 |
| 2 | 659, 210, 399, 494 |
| 3 | 659, 105, 399, 247 |
| 7 | 659, 35, 133, 247 |
| 19 | 659, 5, 19, 247 |
| 659, 5, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 19 x 659 x 5 x 1 x 13 = 68364660
Therefore, the lowest common multiple of 659,420,399,988 is 68364660.
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.
659 x 420 x 399 x 988 = 109109997360
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.
659 : 1, 659
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
399 : 1, 3, 7, 19, 21, 57, 133, 399
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,420,399,988, is 1.
Now, the common factors can be found like this.
659:659
420:2x 2x 3x 5x 7
399:3x 7x 19
988:2x 2x 13x 19
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 3x 7x 19 = 1596
Therefore, the value for common factors is 1596.
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 = 109109997360/(1x1596)
LCM = 109109997360/1596
LCM = 68364660
Thus, we can understand that the LCM of 659,420,399,988 is 68364660.
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FAQs on LCM of 659, 420, 399, 988
1. What is the LCM of 659, 420, 399, 988?
Answer: LCM of 659, 420, 399, 988 is 68364660.
2. How to calculate the LCM of 659, 420, 399, 988?
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 659, 420, 399, 988.
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}.