LCM of 638, 249, 915, 276, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 249, 915, 276, 580 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 638, 249, 915, 276, 580. So, keep reading to learn more.
Given numbers are 638,249,915,276,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,249,915,276,580 is 2228833860.
Find LCM of 638,249,915,276,580 with Prime Factorization
| 2 | 638, 249, 915, 276, 580 |
| 2 | 319, 249, 915, 138, 290 |
| 3 | 319, 249, 915, 69, 145 |
| 5 | 319, 83, 305, 23, 145 |
| 29 | 319, 83, 61, 23, 29 |
| 11, 83, 61, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 29 x 11 x 83 x 61 x 23 x 1 = 2228833860
Therefore, the lowest common multiple of 638,249,915,276,580 is 2228833860.
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.
638 x 249 x 915 x 276 x 580 = 23269025498400
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
249 : 1, 3, 83, 249
915 : 1, 3, 5, 15, 61, 183, 305, 915
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,249,915,276,580, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
249:3x 83
915:3x 5x 61
276:2x 2x 3x 23
580:2x 2x 5x 29
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 3x 5x 29 = 10440
Therefore, the value for common factors is 10440.
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 = 23269025498400/(1x10440)
LCM = 23269025498400/10440
LCM = 2228833860
Thus, we can understand that the LCM of 638,249,915,276,580 is 2228833860.
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FAQs on LCM of 638, 249, 915, 276, 580
1. What is the LCM of 638, 249, 915, 276, 580?
Answer: LCM of 638, 249, 915, 276, 580 is 2228833860.
2. How to calculate the LCM of 638, 249, 915, 276, 580?
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 638, 249, 915, 276, 580.
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}.