LCM of 698, 966, 548, 101, 329
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 698, 966, 548, 101, 329 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, 966, 548, 101, 329. So, keep reading to learn more.
Given numbers are 698,966,548,101,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 698,966,548,101,329 is 438502776852.
Find LCM of 698,966,548,101,329 with Prime Factorization
| 2 | 698, 966, 548, 101, 329 |
| 7 | 349, 483, 274, 101, 329 |
| 349, 69, 274, 101, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 349 x 69 x 274 x 101 x 47 = 438502776852
Therefore, the lowest common multiple of 698,966,548,101,329 is 438502776852.
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 966 x 548 x 101 x 329 = 12278077751856
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
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
548 : 1, 2, 4, 137, 274, 548
101 : 1, 101
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,966,548,101,329, is 1.
Now, the common factors can be found like this.
698:2x 349
966:2x 3x 7x 23
548:2x 2x 137
101:101
329:7x 47
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 7 = 28
Therefore, the value for common factors is 28.
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 = 12278077751856/(1x28)
LCM = 12278077751856/28
LCM = 438502776852
Thus, we can understand that the LCM of 698,966,548,101,329 is 438502776852.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 698, 966, 548, 101, 329
1. What is the LCM of 698, 966, 548, 101, 329?
Answer: LCM of 698, 966, 548, 101, 329 is 438502776852.
2. How to calculate the LCM of 698, 966, 548, 101, 329?
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, 966, 548, 101, 329.
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}.