Find the LCM of 638, 789, 821, 767, 874 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, 789, 821, 767, 874. So, keep reading to learn more.
Given numbers are 638,789,821,767,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,789,821,767,874 is 138521644885338.
Find LCM of 638,789,821,767,874 with Prime Factorization
2 | 638, 789, 821, 767, 874 |
319, 789, 821, 767, 437 |
Multiply the prime numbers at the bottom and the left side.
2 x 319 x 789 x 821 x 767 x 437 = 138521644885338
Therefore, the lowest common multiple of 638,789,821,767,874 is 138521644885338.
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 789 x 821 x 767 x 874 = 277043289770676
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
789 : 1, 3, 263, 789
821 : 1, 821
767 : 1, 13, 59, 767
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,789,821,767,874, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
789:3x 263
821:821
767:13x 59
874:2x 19x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 277043289770676/(1x2)
LCM = 277043289770676/2
LCM = 138521644885338
Thus, we can understand that the LCM of 638,789,821,767,874 is 138521644885338.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 638, 789, 821, 767, 874?
Answer: LCM of 638, 789, 821, 767, 874 is 138521644885338.
2. How to calculate the LCM of 638, 789, 821, 767, 874?
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, 789, 821, 767, 874.
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}.