Find the LCM of 697, 672, 933, 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, 672, 933, 714. So, keep reading to learn more.
Given numbers are 697,672,933,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,672,933,714 is 145667424.
Find LCM of 697,672,933,714 with Prime Factorization
2 | 697, 672, 933, 714 |
3 | 697, 336, 933, 357 |
7 | 697, 112, 311, 119 |
17 | 697, 16, 311, 17 |
41, 16, 311, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 41 x 16 x 311 x 1 = 145667424
Therefore, the lowest common multiple of 697,672,933,714 is 145667424.
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 672 x 933 x 714 = 312019622208
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
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
933 : 1, 3, 311, 933
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 697,672,933,714, is 1.
Now, the common factors can be found like this.
697:17x 41
672:2x 2x 2x 2x 2x 3x 7
933:3x 311
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 3x 3x 7x 17 = 2142
Therefore, the value for common factors is 2142.
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 = 312019622208/(1x2142)
LCM = 312019622208/2142
LCM = 145667424
Thus, we can understand that the LCM of 697,672,933,714 is 145667424.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 697, 672, 933, 714?
Answer: LCM of 697, 672, 933, 714 is 145667424.
2. How to calculate the LCM of 697, 672, 933, 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, 672, 933, 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}.