LCM of 688, 694, 559, 481, 398
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 694, 559, 481, 398 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, 694, 559, 481, 398. So, keep reading to learn more.
Given numbers are 688,694,559,481,398
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,694,559,481,398 is 22851571184.
Find LCM of 688,694,559,481,398 with Prime Factorization
| 2 | 688, 694, 559, 481, 398 |
| 13 | 344, 347, 559, 481, 199 |
| 43 | 344, 347, 43, 37, 199 |
| 8, 347, 1, 37, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 43 x 8 x 347 x 1 x 37 x 199 = 22851571184
Therefore, the lowest common multiple of 688,694,559,481,398 is 22851571184.
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 694 x 559 x 481 x 398 = 51096113167424
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
694 : 1, 2, 347, 694
559 : 1, 13, 43, 559
481 : 1, 13, 37, 481
398 : 1, 2, 199, 398
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,694,559,481,398, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
694:2x 347
559:13x 43
481:13x 37
398:2x 199
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 13x 43 = 2236
Therefore, the value for common factors is 2236.
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 = 51096113167424/(1x2236)
LCM = 51096113167424/2236
LCM = 22851571184
Thus, we can understand that the LCM of 688,694,559,481,398 is 22851571184.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 688, 694, 559, 481, 398
1. What is the LCM of 688, 694, 559, 481, 398?
Answer: LCM of 688, 694, 559, 481, 398 is 22851571184.
2. How to calculate the LCM of 688, 694, 559, 481, 398?
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, 694, 559, 481, 398.
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}.