LCM of 575, 871, 276, 680, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 575, 871, 276, 680, 788 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 575, 871, 276, 680, 788. So, keep reading to learn more.
Given numbers are 575,871,276,680,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 575,871,276,680,788 is 40254310200.
Find LCM of 575,871,276,680,788 with Prime Factorization
| 2 | 575, 871, 276, 680, 788 |
| 2 | 575, 871, 138, 340, 394 |
| 5 | 575, 871, 69, 170, 197 |
| 23 | 115, 871, 69, 34, 197 |
| 5, 871, 3, 34, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 5 x 871 x 3 x 34 x 197 = 40254310200
Therefore, the lowest common multiple of 575,871,276,680,788 is 40254310200.
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.
575 x 871 x 276 x 680 x 788 = 74067930768000
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.
575 : 1, 5, 23, 25, 115, 575
871 : 1, 13, 67, 871
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,871,276,680,788, is 1.
Now, the common factors can be found like this.
575:5x 5x 23
871:13x 67
276:2x 2x 3x 23
680:2x 2x 2x 5x 17
788:2x 2x 197
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 2x 5x 23 = 1840
Therefore, the value for common factors is 1840.
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 = 74067930768000/(1x1840)
LCM = 74067930768000/1840
LCM = 40254310200
Thus, we can understand that the LCM of 575,871,276,680,788 is 40254310200.
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FAQs on LCM of 575, 871, 276, 680, 788
1. What is the LCM of 575, 871, 276, 680, 788?
Answer: LCM of 575, 871, 276, 680, 788 is 40254310200.
2. How to calculate the LCM of 575, 871, 276, 680, 788?
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 575, 871, 276, 680, 788.
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}.