LCM of 781, 731, 215, 785
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 731, 215, 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 781, 731, 215, 785. So, keep reading to learn more.
Given numbers are 781,731,215,785
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,731,215,785 is 448165135.
Find LCM of 781,731,215,785 with Prime Factorization
| 5 | 781, 731, 215, 785 |
| 43 | 781, 731, 43, 157 |
| 781, 17, 1, 157 |
Multiply the prime numbers at the bottom and the left side.
5 x 43 x 781 x 17 x 1 x 157 = 448165135
Therefore, the lowest common multiple of 781,731,215,785 is 448165135.
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.
781 x 731 x 215 x 785 = 96355504025
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.
781 : 1, 11, 71, 781
731 : 1, 17, 43, 731
215 : 1, 5, 43, 215
785 : 1, 5, 157, 785
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,731,215,785, is 1.
Now, the common factors can be found like this.
781:11x 71
731:17x 43
215:5x 43
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.
5x 43 = 215
Therefore, the value for common factors is 215.
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 = 96355504025/(1x215)
LCM = 96355504025/215
LCM = 448165135
Thus, we can understand that the LCM of 781,731,215,785 is 448165135.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 781, 731, 215, 785
1. What is the LCM of 781, 731, 215, 785?
Answer: LCM of 781, 731, 215, 785 is 448165135.
2. How to calculate the LCM of 781, 731, 215, 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 781, 731, 215, 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}.