Find the LCM of 809, 946, 724, 349, 756 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 809, 946, 724, 349, 756. So, keep reading to learn more.
Given numbers are 809,946,724,349,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,946,724,349,756 is 18274077384948.
Find LCM of 809,946,724,349,756 with Prime Factorization
2 | 809, 946, 724, 349, 756 |
2 | 809, 473, 362, 349, 378 |
809, 473, 181, 349, 189 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 809 x 473 x 181 x 349 x 189 = 18274077384948
Therefore, the lowest common multiple of 809,946,724,349,756 is 18274077384948.
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.
809 x 946 x 724 x 349 x 756 = 146192619079584
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.
809 : 1, 809
946 : 1, 2, 11, 22, 43, 86, 473, 946
724 : 1, 2, 4, 181, 362, 724
349 : 1, 349
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,946,724,349,756, is 1.
Now, the common factors can be found like this.
809:809
946:2x 11x 43
724:2x 2x 181
349:349
756:2x 2x 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 2 = 8
Therefore, the value for common factors is 8.
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 = 146192619079584/(1x8)
LCM = 146192619079584/8
LCM = 18274077384948
Thus, we can understand that the LCM of 809,946,724,349,756 is 18274077384948.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 809, 946, 724, 349, 756?
Answer: LCM of 809, 946, 724, 349, 756 is 18274077384948.
2. How to calculate the LCM of 809, 946, 724, 349, 756?
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 809, 946, 724, 349, 756.
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}.