LCM of 260, 760, 916, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 260, 760, 916, 567 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 260, 760, 916, 567. So, keep reading to learn more.
Given numbers are 260,760,916,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,760,916,567 is 1282848840.
Find LCM of 260,760,916,567 with Prime Factorization
| 2 | 260, 760, 916, 567 |
| 2 | 130, 380, 458, 567 |
| 5 | 65, 190, 229, 567 |
| 13, 38, 229, 567 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 38 x 229 x 567 = 1282848840
Therefore, the lowest common multiple of 260,760,916,567 is 1282848840.
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.
260 x 760 x 916 x 567 = 102627907200
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.
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
916 : 1, 2, 4, 229, 458, 916
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,760,916,567, is 1.
Now, the common factors can be found like this.
260:2x 2x 5x 13
760:2x 2x 2x 5x 19
916:2x 2x 229
567:3x 3x 3x 3x 7
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 2x 2x 5 = 80
Therefore, the value for common factors is 80.
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 = 102627907200/(1x80)
LCM = 102627907200/80
LCM = 1282848840
Thus, we can understand that the LCM of 260,760,916,567 is 1282848840.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 260, 760, 916, 567
1. What is the LCM of 260, 760, 916, 567?
Answer: LCM of 260, 760, 916, 567 is 1282848840.
2. How to calculate the LCM of 260, 760, 916, 567?
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 260, 760, 916, 567.
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}.