Find the LCM of 697, 416, 688, 714 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 697, 416, 688, 714. So, keep reading to learn more.
Given numbers are 697,416,688,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,416,688,714 is 261826656.
Find LCM of 697,416,688,714 with Prime Factorization
2 | 697, 416, 688, 714 |
2 | 697, 208, 344, 357 |
2 | 697, 104, 172, 357 |
2 | 697, 52, 86, 357 |
17 | 697, 26, 43, 357 |
41, 26, 43, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 17 x 41 x 26 x 43 x 21 = 261826656
Therefore, the lowest common multiple of 697,416,688,714 is 261826656.
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.
697 x 416 x 688 x 714 = 142433700864
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.
697 : 1, 17, 41, 697
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,416,688,714, is 1.
Now, the common factors can be found like this.
697:17x 41
416:2x 2x 2x 2x 2x 13
688:2x 2x 2x 2x 43
714:2x 3x 7x 17
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 2x 2x 17 = 544
Therefore, the value for common factors is 544.
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 = 142433700864/(1x544)
LCM = 142433700864/544
LCM = 261826656
Thus, we can understand that the LCM of 697,416,688,714 is 261826656.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 697, 416, 688, 714?
Answer: LCM of 697, 416, 688, 714 is 261826656.
2. How to calculate the LCM of 697, 416, 688, 714?
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 697, 416, 688, 714.
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}.