LCM of 765, 969, 300, 267
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 969, 300, 267 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 765, 969, 300, 267. So, keep reading to learn more.
Given numbers are 765,969,300,267
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,969,300,267 is 25872300.
Find LCM of 765,969,300,267 with Prime Factorization
| 3 | 765, 969, 300, 267 |
| 5 | 255, 323, 100, 89 |
| 17 | 51, 323, 20, 89 |
| 3, 19, 20, 89 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 3 x 19 x 20 x 89 = 25872300
Therefore, the lowest common multiple of 765,969,300,267 is 25872300.
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.
765 x 969 x 300 x 267 = 59376928500
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.
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
969 : 1, 3, 17, 19, 51, 57, 323, 969
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
267 : 1, 3, 89, 267
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,969,300,267, is 3.
Now, the common factors can be found like this.
765:3x 3x 5x 17
969:3x 17x 19
300:2x 2x 3x 5x 5
267:3x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 17 = 765
Therefore, the value for common factors is 765.
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 = 59376928500/(3x765)
LCM = 59376928500/2295
LCM = 25872300
Thus, we can understand that the LCM of 765,969,300,267 is 25872300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 765, 969, 300, 267
1. What is the LCM of 765, 969, 300, 267?
Answer: LCM of 765, 969, 300, 267 is 25872300.
2. How to calculate the LCM of 765, 969, 300, 267?
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 765, 969, 300, 267.
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}.