Find the LCM of 487, 391, 369, 391, 101 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 487, 391, 369, 391, 101. So, keep reading to learn more.
Given numbers are 487,391,369,391,101
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,391,369,391,101 is 7096651173.
Find LCM of 487,391,369,391,101 with Prime Factorization
17 | 487, 391, 369, 391, 101 |
23 | 487, 23, 369, 23, 101 |
487, 1, 369, 1, 101 |
Multiply the prime numbers at the bottom and the left side.
17 x 23 x 487 x 1 x 369 x 1 x 101 = 7096651173
Therefore, the lowest common multiple of 487,391,369,391,101 is 7096651173.
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.
487 x 391 x 369 x 391 x 101 = 2774790608643
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.
487 : 1, 487
391 : 1, 17, 23, 391
369 : 1, 3, 9, 41, 123, 369
391 : 1, 17, 23, 391
101 : 1, 101
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,391,369,391,101, is 1.
Now, the common factors can be found like this.
487:487
391:17x 23
369:3x 3x 41
391:17x 23
101:101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 23 = 391
Therefore, the value for common factors is 391.
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 = 2774790608643/(1x391)
LCM = 2774790608643/391
LCM = 7096651173
Thus, we can understand that the LCM of 487,391,369,391,101 is 7096651173.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 487, 391, 369, 391, 101?
Answer: LCM of 487, 391, 369, 391, 101 is 7096651173.
2. How to calculate the LCM of 487, 391, 369, 391, 101?
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 487, 391, 369, 391, 101.
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}.