Find the LCM of 836, 643, 507, 689 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 836, 643, 507, 689. So, keep reading to learn more.
Given numbers are 836,643,507,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,643,507,689 is 14444452308.
Find LCM of 836,643,507,689 with Prime Factorization
13 | 836, 643, 507, 689 |
836, 643, 39, 53 |
Multiply the prime numbers at the bottom and the left side.
13 x 836 x 643 x 39 x 53 = 14444452308
Therefore, the lowest common multiple of 836,643,507,689 is 14444452308.
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.
836 x 643 x 507 x 689 = 187777880004
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.
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
643 : 1, 643
507 : 1, 3, 13, 39, 169, 507
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,643,507,689, is 1.
Now, the common factors can be found like this.
836:2x 2x 11x 19
643:643
507:3x 13x 13
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 187777880004/(1x13)
LCM = 187777880004/13
LCM = 14444452308
Thus, we can understand that the LCM of 836,643,507,689 is 14444452308.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 836, 643, 507, 689?
Answer: LCM of 836, 643, 507, 689 is 14444452308.
2. How to calculate the LCM of 836, 643, 507, 689?
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 836, 643, 507, 689.
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}.