Find the LCM of 698, 759, 652, 621, 792 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, 759, 652, 621, 792. So, keep reading to learn more.
Given numbers are 698,759,652,621,792
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 698,759,652,621,792 is 3108760776.
Find LCM of 698,759,652,621,792 with Prime Factorization
2 | 698, 759, 652, 621, 792 |
2 | 349, 759, 326, 621, 396 |
3 | 349, 759, 163, 621, 198 |
3 | 349, 253, 163, 207, 66 |
11 | 349, 253, 163, 69, 22 |
23 | 349, 23, 163, 69, 2 |
349, 1, 163, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 23 x 349 x 1 x 163 x 3 x 2 = 3108760776
Therefore, the lowest common multiple of 698,759,652,621,792 is 3108760776.
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 759 x 652 x 621 x 792 = 169887558886848
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
759 : 1, 3, 11, 23, 33, 69, 253, 759
652 : 1, 2, 4, 163, 326, 652
621 : 1, 3, 9, 23, 27, 69, 207, 621
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,759,652,621,792, is 1.
Now, the common factors can be found like this.
698:2x 349
759:3x 11x 23
652:2x 2x 163
621:3x 3x 3x 23
792:2x 2x 2x 3x 3x 11
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 3x 3x 3x 11x 23 = 54648
Therefore, the value for common factors is 54648.
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 = 169887558886848/(1x54648)
LCM = 169887558886848/54648
LCM = 3108760776
Thus, we can understand that the LCM of 698,759,652,621,792 is 3108760776.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 698, 759, 652, 621, 792?
Answer: LCM of 698, 759, 652, 621, 792 is 3108760776.
2. How to calculate the LCM of 698, 759, 652, 621, 792?
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, 759, 652, 621, 792.
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}.