LCM of 265, 675, 393, 279, 638
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 265, 675, 393, 279, 638 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 265, 675, 393, 279, 638. So, keep reading to learn more.
Given numbers are 265,675,393,279,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 265,675,393,279,638 is 92690091450.
Find LCM of 265,675,393,279,638 with Prime Factorization
| 3 | 265, 675, 393, 279, 638 |
| 3 | 265, 225, 131, 93, 638 |
| 5 | 265, 75, 131, 31, 638 |
| 53, 15, 131, 31, 638 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 53 x 15 x 131 x 31 x 638 = 92690091450
Therefore, the lowest common multiple of 265,675,393,279,638 is 92690091450.
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.
265 x 675 x 393 x 279 x 638 = 12513162345750
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.
265 : 1, 5, 53, 265
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
393 : 1, 3, 131, 393
279 : 1, 3, 9, 31, 93, 279
638 : 1, 2, 11, 22, 29, 58, 319, 638
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 265,675,393,279,638, is 1.
Now, the common factors can be found like this.
265:5x 53
675:3x 3x 3x 5x 5
393:3x 131
279:3x 3x 31
638:2x 11x 29
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 3x 5 = 135
Therefore, the value for common factors is 135.
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 = 12513162345750/(1x135)
LCM = 12513162345750/135
LCM = 92690091450
Thus, we can understand that the LCM of 265,675,393,279,638 is 92690091450.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 265, 675, 393, 279, 638
1. What is the LCM of 265, 675, 393, 279, 638?
Answer: LCM of 265, 675, 393, 279, 638 is 92690091450.
2. How to calculate the LCM of 265, 675, 393, 279, 638?
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 265, 675, 393, 279, 638.
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}.