Find the LCM of 2, 834, 834, 567 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 2, 834, 834, 567. So, keep reading to learn more.
Given numbers are 2,834,834,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 2,834,834,567 is 157626.
Find LCM of 2,834,834,567 with Prime Factorization
2 | 2, 834, 834, 567 |
3 | 1, 417, 417, 567 |
139 | 1, 139, 139, 189 |
1, 1, 1, 189 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 139 x 1 x 1 x 1 x 189 = 157626
Therefore, the lowest common multiple of 2,834,834,567 is 157626.
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.
2 x 834 x 834 x 567 = 788760504
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.
2 : 1, 2
834 : 1, 2, 3, 6, 139, 278, 417, 834
834 : 1, 2, 3, 6, 139, 278, 417, 834
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2,834,834,567, is 1.
Now, the common factors can be found like this.
2:2
834:2x 3x 139
834:2x 3x 139
567:3x 3x 3x 3x 7
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 3x 3x 139 = 5004
Therefore, the value for common factors is 5004.
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 = 788760504/(1x5004)
LCM = 788760504/5004
LCM = 157626
Thus, we can understand that the LCM of 2,834,834,567 is 157626.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 2, 834, 834, 567?
Answer: LCM of 2, 834, 834, 567 is 157626.
2. How to calculate the LCM of 2, 834, 834, 567?
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 2, 834, 834, 567.
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}.