LCM of 398, 698, 694, 347
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 698, 694, 347 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 398, 698, 694, 347. So, keep reading to learn more.
Given numbers are 398,698,694,347
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,698,694,347 is 48198994.
Find LCM of 398,698,694,347 with Prime Factorization
| 2 | 398, 698, 694, 347 |
| 347 | 199, 349, 347, 347 |
| 199, 349, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 347 x 199 x 349 x 1 x 1 = 48198994
Therefore, the lowest common multiple of 398,698,694,347 is 48198994.
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.
398 x 698 x 694 x 347 = 66900203672
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.
398 : 1, 2, 199, 398
698 : 1, 2, 349, 698
694 : 1, 2, 347, 694
347 : 1, 347
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,698,694,347, is 1.
Now, the common factors can be found like this.
398:2x 199
698:2x 349
694:2x 347
347:347
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 347 = 1388
Therefore, the value for common factors is 1388.
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 = 66900203672/(1x1388)
LCM = 66900203672/1388
LCM = 48198994
Thus, we can understand that the LCM of 398,698,694,347 is 48198994.
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FAQs on LCM of 398, 698, 694, 347
1. What is the LCM of 398, 698, 694, 347?
Answer: LCM of 398, 698, 694, 347 is 48198994.
2. How to calculate the LCM of 398, 698, 694, 347?
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 398, 698, 694, 347.
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}.