Find the LCM of 638, 994, 420, 869, 919 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 638, 994, 420, 869, 919. So, keep reading to learn more.
Given numbers are 638,994,420,869,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,994,420,869,919 is 690622820580.
Find LCM of 638,994,420,869,919 with Prime Factorization
2 | 638, 994, 420, 869, 919 |
7 | 319, 497, 210, 869, 919 |
11 | 319, 71, 30, 869, 919 |
29, 71, 30, 79, 919 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 29 x 71 x 30 x 79 x 919 = 690622820580
Therefore, the lowest common multiple of 638,994,420,869,919 is 690622820580.
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.
638 x 994 x 420 x 869 x 919 = 212711828738640
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
994 : 1, 2, 7, 14, 71, 142, 497, 994
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
869 : 1, 11, 79, 869
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,994,420,869,919, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
994:2x 7x 71
420:2x 2x 3x 5x 7
869:11x 79
919:919
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 7x 11 = 308
Therefore, the value for common factors is 308.
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 = 212711828738640/(1x308)
LCM = 212711828738640/308
LCM = 690622820580
Thus, we can understand that the LCM of 638,994,420,869,919 is 690622820580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 638, 994, 420, 869, 919?
Answer: LCM of 638, 994, 420, 869, 919 is 690622820580.
2. How to calculate the LCM of 638, 994, 420, 869, 919?
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 638, 994, 420, 869, 919.
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}.