Find the LCM of 745, 759, 820, 659, 916 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 745, 759, 820, 659, 916. So, keep reading to learn more.
Given numbers are 745,759,820,659,916
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 745,759,820,659,916 is 13994674238820.
Find LCM of 745,759,820,659,916 with Prime Factorization
2 | 745, 759, 820, 659, 916 |
2 | 745, 759, 410, 659, 458 |
5 | 745, 759, 205, 659, 229 |
149, 759, 41, 659, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 149 x 759 x 41 x 659 x 229 = 13994674238820
Therefore, the lowest common multiple of 745,759,820,659,916 is 13994674238820.
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.
745 x 759 x 820 x 659 x 916 = 279893484776400
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.
745 : 1, 5, 149, 745
759 : 1, 3, 11, 23, 33, 69, 253, 759
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
659 : 1, 659
916 : 1, 2, 4, 229, 458, 916
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,759,820,659,916, is 1.
Now, the common factors can be found like this.
745:5x 149
759:3x 11x 23
820:2x 2x 5x 41
659:659
916:2x 2x 229
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 5 = 20
Therefore, the value for common factors is 20.
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 = 279893484776400/(1x20)
LCM = 279893484776400/20
LCM = 13994674238820
Thus, we can understand that the LCM of 745,759,820,659,916 is 13994674238820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 745, 759, 820, 659, 916?
Answer: LCM of 745, 759, 820, 659, 916 is 13994674238820.
2. How to calculate the LCM of 745, 759, 820, 659, 916?
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 745, 759, 820, 659, 916.
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}.