LCM of 698, 824, 562, 388
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 698, 824, 562, 388 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 698, 824, 562, 388. So, keep reading to learn more.
Given numbers are 698,824,562,388
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 698,824,562,388 is 7838459032.
Find LCM of 698,824,562,388 with Prime Factorization
| 2 | 698, 824, 562, 388 |
| 2 | 349, 412, 281, 194 |
| 349, 206, 281, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 349 x 206 x 281 x 97 = 7838459032
Therefore, the lowest common multiple of 698,824,562,388 is 7838459032.
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.
698 x 824 x 562 x 388 = 125415344512
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.
698 : 1, 2, 349, 698
824 : 1, 2, 4, 8, 103, 206, 412, 824
562 : 1, 2, 281, 562
388 : 1, 2, 4, 97, 194, 388
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,824,562,388, is 2.
Now, the common factors can be found like this.
698:2x 349
824:2x 2x 2x 103
562:2x 281
388:2x 2x 97
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 2 = 8
Therefore, the value for common factors is 8.
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 = 125415344512/(2x8)
LCM = 125415344512/16
LCM = 7838459032
Thus, we can understand that the LCM of 698,824,562,388 is 7838459032.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 698, 824, 562, 388
1. What is the LCM of 698, 824, 562, 388?
Answer: LCM of 698, 824, 562, 388 is 7838459032.
2. How to calculate the LCM of 698, 824, 562, 388?
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 698, 824, 562, 388.
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}.