LCM of 915, 261, 523, 153, 638
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 915, 261, 523, 153, 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 915, 261, 523, 153, 638. So, keep reading to learn more.
Given numbers are 915,261,523,153,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 915,261,523,153,638 is 15570897210.
Find LCM of 915,261,523,153,638 with Prime Factorization
| 3 | 915, 261, 523, 153, 638 |
| 3 | 305, 87, 523, 51, 638 |
| 29 | 305, 29, 523, 17, 638 |
| 305, 1, 523, 17, 22 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 29 x 305 x 1 x 523 x 17 x 22 = 15570897210
Therefore, the lowest common multiple of 915,261,523,153,638 is 15570897210.
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.
915 x 261 x 523 x 153 x 638 = 12192012515430
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.
915 : 1, 3, 5, 15, 61, 183, 305, 915
261 : 1, 3, 9, 29, 87, 261
523 : 1, 523
153 : 1, 3, 9, 17, 51, 153
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 915,261,523,153,638, is 1.
Now, the common factors can be found like this.
915:3x 5x 61
261:3x 3x 29
523:523
153:3x 3x 17
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 29 = 783
Therefore, the value for common factors is 783.
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 = 12192012515430/(1x783)
LCM = 12192012515430/783
LCM = 15570897210
Thus, we can understand that the LCM of 915,261,523,153,638 is 15570897210.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 915, 261, 523, 153, 638
1. What is the LCM of 915, 261, 523, 153, 638?
Answer: LCM of 915, 261, 523, 153, 638 is 15570897210.
2. How to calculate the LCM of 915, 261, 523, 153, 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 915, 261, 523, 153, 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}.