Find the LCM of 457, 635, 247, 689, 587 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 457, 635, 247, 689, 587. So, keep reading to learn more.
Given numbers are 457,635,247,689,587
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 457,635,247,689,587 is 2229979391315.
Find LCM of 457,635,247,689,587 with Prime Factorization
13 | 457, 635, 247, 689, 587 |
457, 635, 19, 53, 587 |
Multiply the prime numbers at the bottom and the left side.
13 x 457 x 635 x 19 x 53 x 587 = 2229979391315
Therefore, the lowest common multiple of 457,635,247,689,587 is 2229979391315.
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.
457 x 635 x 247 x 689 x 587 = 28989732087095
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.
457 : 1, 457
635 : 1, 5, 127, 635
247 : 1, 13, 19, 247
689 : 1, 13, 53, 689
587 : 1, 587
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,635,247,689,587, is 1.
Now, the common factors can be found like this.
457:457
635:5x 127
247:13x 19
689:13x 53
587:587
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 28989732087095/(1x13)
LCM = 28989732087095/13
LCM = 2229979391315
Thus, we can understand that the LCM of 457,635,247,689,587 is 2229979391315.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 457, 635, 247, 689, 587?
Answer: LCM of 457, 635, 247, 689, 587 is 2229979391315.
2. How to calculate the LCM of 457, 635, 247, 689, 587?
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 457, 635, 247, 689, 587.
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}.