LCM of 688, 357, 200, 306, 838
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 357, 200, 306, 838 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 688, 357, 200, 306, 838. So, keep reading to learn more.
Given numbers are 688,357,200,306,838
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,357,200,306,838 is 7718482800.
Find LCM of 688,357,200,306,838 with Prime Factorization
| 2 | 688, 357, 200, 306, 838 |
| 2 | 344, 357, 100, 153, 419 |
| 2 | 172, 357, 50, 153, 419 |
| 3 | 86, 357, 25, 153, 419 |
| 17 | 86, 119, 25, 51, 419 |
| 86, 7, 25, 3, 419 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 86 x 7 x 25 x 3 x 419 = 7718482800
Therefore, the lowest common multiple of 688,357,200,306,838 is 7718482800.
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.
688 x 357 x 200 x 306 x 838 = 12596563929600
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
357 : 1, 3, 7, 17, 21, 51, 119, 357
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
838 : 1, 2, 419, 838
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,357,200,306,838, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
357:3x 7x 17
200:2x 2x 2x 5x 5
306:2x 3x 3x 17
838:2x 419
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 2x 3x 17 = 1632
Therefore, the value for common factors is 1632.
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 = 12596563929600/(1x1632)
LCM = 12596563929600/1632
LCM = 7718482800
Thus, we can understand that the LCM of 688,357,200,306,838 is 7718482800.
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FAQs on LCM of 688, 357, 200, 306, 838
1. What is the LCM of 688, 357, 200, 306, 838?
Answer: LCM of 688, 357, 200, 306, 838 is 7718482800.
2. How to calculate the LCM of 688, 357, 200, 306, 838?
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 688, 357, 200, 306, 838.
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}.