LCM of 785, 867, 265, 315, 470
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 867, 265, 315, 470 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 785, 867, 265, 315, 470. So, keep reading to learn more.
Given numbers are 785,867,265,315,470
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,867,265,315,470 is 71205210090.
Find LCM of 785,867,265,315,470 with Prime Factorization
| 3 | 785, 867, 265, 315, 470 |
| 5 | 785, 289, 265, 105, 470 |
| 157, 289, 53, 21, 94 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 157 x 289 x 53 x 21 x 94 = 71205210090
Therefore, the lowest common multiple of 785,867,265,315,470 is 71205210090.
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.
785 x 867 x 265 x 315 x 470 = 26701953783750
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.
785 : 1, 5, 157, 785
867 : 1, 3, 17, 51, 289, 867
265 : 1, 5, 53, 265
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
470 : 1, 2, 5, 10, 47, 94, 235, 470
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,867,265,315,470, is 1.
Now, the common factors can be found like this.
785:5x 157
867:3x 17x 17
265:5x 53
315:3x 3x 5x 7
470:2x 5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 5 = 375
Therefore, the value for common factors is 375.
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 = 26701953783750/(1x375)
LCM = 26701953783750/375
LCM = 71205210090
Thus, we can understand that the LCM of 785,867,265,315,470 is 71205210090.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 785, 867, 265, 315, 470
1. What is the LCM of 785, 867, 265, 315, 470?
Answer: LCM of 785, 867, 265, 315, 470 is 71205210090.
2. How to calculate the LCM of 785, 867, 265, 315, 470?
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 785, 867, 265, 315, 470.
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}.