Find the LCM of 3, 807, 269, 837 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 3, 807, 269, 837. So, keep reading to learn more.
Given numbers are 3,807,269,837
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3,807,269,837 is 225153.
Find LCM of 3,807,269,837 with Prime Factorization
3 | 3, 807, 269, 837 |
269 | 1, 269, 269, 279 |
1, 1, 1, 279 |
Multiply the prime numbers at the bottom and the left side.
3 x 269 x 1 x 1 x 1 x 279 = 225153
Therefore, the lowest common multiple of 3,807,269,837 is 225153.
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.
3 x 807 x 269 x 837 = 545095413
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.
3 : 1, 3
807 : 1, 3, 269, 807
269 : 1, 269
837 : 1, 3, 9, 27, 31, 93, 279, 837
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3,807,269,837, is 1.
Now, the common factors can be found like this.
3:3
807:3x 269
269:269
837:3x 3x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 269 = 2421
Therefore, the value for common factors is 2421.
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 = 545095413/(1x2421)
LCM = 545095413/2421
LCM = 225153
Thus, we can understand that the LCM of 3,807,269,837 is 225153.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 3, 807, 269, 837?
Answer: LCM of 3, 807, 269, 837 is 225153.
2. How to calculate the LCM of 3, 807, 269, 837?
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 3, 807, 269, 837.
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}.