LCM of 680, 205, 672, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 680, 205, 672, 978 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 680, 205, 672, 978. So, keep reading to learn more.
Given numbers are 680,205,672,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 680,205,672,978 is 381732960.
Find LCM of 680,205,672,978 with Prime Factorization
| 2 | 680, 205, 672, 978 |
| 2 | 340, 205, 336, 489 |
| 2 | 170, 205, 168, 489 |
| 3 | 85, 205, 84, 489 |
| 5 | 85, 205, 28, 163 |
| 17, 41, 28, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 17 x 41 x 28 x 163 = 381732960
Therefore, the lowest common multiple of 680,205,672,978 is 381732960.
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.
680 x 205 x 672 x 978 = 91615910400
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.
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
205 : 1, 5, 41, 205
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,205,672,978, is 1.
Now, the common factors can be found like this.
680:2x 2x 2x 5x 17
205:5x 41
672:2x 2x 2x 2x 2x 3x 7
978:2x 3x 163
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 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 91615910400/(1x240)
LCM = 91615910400/240
LCM = 381732960
Thus, we can understand that the LCM of 680,205,672,978 is 381732960.
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FAQs on LCM of 680, 205, 672, 978
1. What is the LCM of 680, 205, 672, 978?
Answer: LCM of 680, 205, 672, 978 is 381732960.
2. How to calculate the LCM of 680, 205, 672, 978?
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 680, 205, 672, 978.
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}.