LCM of 269, 918, 267, 748, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 918, 267, 748, 760 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 269, 918, 267, 748, 760. So, keep reading to learn more.
Given numbers are 269,918,267,748,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,918,267,748,760 is 91867362840.
Find LCM of 269,918,267,748,760 with Prime Factorization
| 2 | 269, 918, 267, 748, 760 |
| 2 | 269, 459, 267, 374, 380 |
| 3 | 269, 459, 267, 187, 190 |
| 17 | 269, 153, 89, 187, 190 |
| 269, 9, 89, 11, 190 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 269 x 9 x 89 x 11 x 190 = 91867362840
Therefore, the lowest common multiple of 269,918,267,748,760 is 91867362840.
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.
269 x 918 x 267 x 748 x 760 = 37481884038720
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.
269 : 1, 269
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
267 : 1, 3, 89, 267
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,918,267,748,760, is 1.
Now, the common factors can be found like this.
269:269
918:2x 3x 3x 3x 17
267:3x 89
748:2x 2x 11x 17
760:2x 2x 2x 5x 19
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 3x 17 = 408
Therefore, the value for common factors is 408.
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 = 37481884038720/(1x408)
LCM = 37481884038720/408
LCM = 91867362840
Thus, we can understand that the LCM of 269,918,267,748,760 is 91867362840.
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FAQs on LCM of 269, 918, 267, 748, 760
1. What is the LCM of 269, 918, 267, 748, 760?
Answer: LCM of 269, 918, 267, 748, 760 is 91867362840.
2. How to calculate the LCM of 269, 918, 267, 748, 760?
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 269, 918, 267, 748, 760.
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}.