Find the LCM of 697, 391, 391, 458 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, 391, 391, 458. So, keep reading to learn more.
Given numbers are 697,391,391,458
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,391,391,458 is 7342198.
Find LCM of 697,391,391,458 with Prime Factorization
17 | 697, 391, 391, 458 |
23 | 41, 23, 23, 458 |
41, 1, 1, 458 |
Multiply the prime numbers at the bottom and the left side.
17 x 23 x 41 x 1 x 1 x 458 = 7342198
Therefore, the lowest common multiple of 697,391,391,458 is 7342198.
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 391 x 391 x 458 = 48803590106
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
391 : 1, 17, 23, 391
391 : 1, 17, 23, 391
458 : 1, 2, 229, 458
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,391,391,458, is 1.
Now, the common factors can be found like this.
697:17x 41
391:17x 23
391:17x 23
458:2x 229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 17x 23 = 6647
Therefore, the value for common factors is 6647.
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 = 48803590106/(1x6647)
LCM = 48803590106/6647
LCM = 7342198
Thus, we can understand that the LCM of 697,391,391,458 is 7342198.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 697, 391, 391, 458?
Answer: LCM of 697, 391, 391, 458 is 7342198.
2. How to calculate the LCM of 697, 391, 391, 458?
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, 391, 391, 458.
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}.