Find the LCM of 998, 526, 224, 369, 617 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 998, 526, 224, 369, 617. So, keep reading to learn more.
Given numbers are 998,526,224,369,617
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,526,224,369,617 is 6692923216224.
Find LCM of 998,526,224,369,617 with Prime Factorization
2 | 998, 526, 224, 369, 617 |
499, 263, 112, 369, 617 |
Multiply the prime numbers at the bottom and the left side.
2 x 499 x 263 x 112 x 369 x 617 = 6692923216224
Therefore, the lowest common multiple of 998,526,224,369,617 is 6692923216224.
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.
998 x 526 x 224 x 369 x 617 = 26771692864896
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.
998 : 1, 2, 499, 998
526 : 1, 2, 263, 526
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
369 : 1, 3, 9, 41, 123, 369
617 : 1, 617
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,526,224,369,617, is 1.
Now, the common factors can be found like this.
998:2x 499
526:2x 263
224:2x 2x 2x 2x 2x 7
369:3x 3x 41
617:617
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 26771692864896/(1x4)
LCM = 26771692864896/4
LCM = 6692923216224
Thus, we can understand that the LCM of 998,526,224,369,617 is 6692923216224.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 998, 526, 224, 369, 617?
Answer: LCM of 998, 526, 224, 369, 617 is 6692923216224.
2. How to calculate the LCM of 998, 526, 224, 369, 617?
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 998, 526, 224, 369, 617.
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}.