LCM of 685, 988, 420, 514, 577
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 685, 988, 420, 514, 577 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 685, 988, 420, 514, 577. So, keep reading to learn more.
Given numbers are 685,988,420,514,577
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,988,420,514,577 is 2107539617820.
Find LCM of 685,988,420,514,577 with Prime Factorization
| 2 | 685, 988, 420, 514, 577 |
| 2 | 685, 494, 210, 257, 577 |
| 5 | 685, 247, 105, 257, 577 |
| 137, 247, 21, 257, 577 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 137 x 247 x 21 x 257 x 577 = 2107539617820
Therefore, the lowest common multiple of 685,988,420,514,577 is 2107539617820.
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.
685 x 988 x 420 x 514 x 577 = 84301584712800
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.
685 : 1, 5, 137, 685
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
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
514 : 1, 2, 257, 514
577 : 1, 577
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,988,420,514,577, is 1.
Now, the common factors can be found like this.
685:5x 137
988:2x 2x 13x 19
420:2x 2x 3x 5x 7
514:2x 257
577:577
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 5 = 40
Therefore, the value for common factors is 40.
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 = 84301584712800/(1x40)
LCM = 84301584712800/40
LCM = 2107539617820
Thus, we can understand that the LCM of 685,988,420,514,577 is 2107539617820.
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FAQs on LCM of 685, 988, 420, 514, 577
1. What is the LCM of 685, 988, 420, 514, 577?
Answer: LCM of 685, 988, 420, 514, 577 is 2107539617820.
2. How to calculate the LCM of 685, 988, 420, 514, 577?
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 685, 988, 420, 514, 577.
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}.