LCM of 867, 567, 765, 286, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 567, 765, 286, 416 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 867, 567, 765, 286, 416. So, keep reading to learn more.
Given numbers are 867,567,765,286,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,567,765,286,416 is 3749185440.
Find LCM of 867,567,765,286,416 with Prime Factorization
| 2 | 867, 567, 765, 286, 416 |
| 3 | 867, 567, 765, 143, 208 |
| 3 | 289, 189, 255, 143, 208 |
| 13 | 289, 63, 85, 143, 208 |
| 17 | 289, 63, 85, 11, 16 |
| 17, 63, 5, 11, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 17 x 17 x 63 x 5 x 11 x 16 = 3749185440
Therefore, the lowest common multiple of 867,567,765,286,416 is 3749185440.
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.
867 x 567 x 765 x 286 x 416 = 44742779040960
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.
867 : 1, 3, 17, 51, 289, 867
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
286 : 1, 2, 11, 13, 22, 26, 143, 286
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,567,765,286,416, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
567:3x 3x 3x 3x 7
765:3x 3x 5x 17
286:2x 11x 13
416:2x 2x 2x 2x 2x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 13x 17 = 11934
Therefore, the value for common factors is 11934.
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 = 44742779040960/(1x11934)
LCM = 44742779040960/11934
LCM = 3749185440
Thus, we can understand that the LCM of 867,567,765,286,416 is 3749185440.
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FAQs on LCM of 867, 567, 765, 286, 416
1. What is the LCM of 867, 567, 765, 286, 416?
Answer: LCM of 867, 567, 765, 286, 416 is 3749185440.
2. How to calculate the LCM of 867, 567, 765, 286, 416?
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 867, 567, 765, 286, 416.
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}.