Find the LCM of 997, 759, 997, 299, 785 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 997, 759, 997, 299, 785. So, keep reading to learn more.
Given numbers are 997,759,997,299,785
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 997,759,997,299,785 is 7722358215.
Find LCM of 997,759,997,299,785 with Prime Factorization
23 | 997, 759, 997, 299, 785 |
997 | 997, 33, 997, 13, 785 |
1, 33, 1, 13, 785 |
Multiply the prime numbers at the bottom and the left side.
23 x 997 x 1 x 33 x 1 x 13 x 785 = 7722358215
Therefore, the lowest common multiple of 997,759,997,299,785 is 7722358215.
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.
997 x 759 x 997 x 299 x 785 = 177081396228165
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.
997 : 1, 997
759 : 1, 3, 11, 23, 33, 69, 253, 759
997 : 1, 997
299 : 1, 13, 23, 299
785 : 1, 5, 157, 785
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,759,997,299,785, is 1.
Now, the common factors can be found like this.
997:997
759:3x 11x 23
997:997
299:13x 23
785:5x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 997 = 22931
Therefore, the value for common factors is 22931.
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 = 177081396228165/(1x22931)
LCM = 177081396228165/22931
LCM = 7722358215
Thus, we can understand that the LCM of 997,759,997,299,785 is 7722358215.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 997, 759, 997, 299, 785?
Answer: LCM of 997, 759, 997, 299, 785 is 7722358215.
2. How to calculate the LCM of 997, 759, 997, 299, 785?
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 997, 759, 997, 299, 785.
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}.