LCM of 762, 635, 762, 976, 660
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 635, 762, 976, 660 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 762, 635, 762, 976, 660. So, keep reading to learn more.
Given numbers are 762,635,762,976,660
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,635,762,976,660 is 20452080.
Find LCM of 762,635,762,976,660 with Prime Factorization
| 2 | 762, 635, 762, 976, 660 |
| 2 | 381, 635, 381, 488, 330 |
| 3 | 381, 635, 381, 244, 165 |
| 5 | 127, 635, 127, 244, 55 |
| 127 | 127, 127, 127, 244, 11 |
| 1, 1, 1, 244, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 127 x 1 x 1 x 1 x 244 x 11 = 20452080
Therefore, the lowest common multiple of 762,635,762,976,660 is 20452080.
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.
762 x 635 x 762 x 976 x 660 = 237507550790400
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
635 : 1, 5, 127, 635
762 : 1, 2, 3, 6, 127, 254, 381, 762
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,635,762,976,660, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
635:5x 127
762:2x 3x 127
976:2x 2x 2x 2x 61
660:2x 2x 3x 5x 11
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 3x 3x 5x 127x 127 = 11612880
Therefore, the value for common factors is 11612880.
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 = 237507550790400/(1x11612880)
LCM = 237507550790400/11612880
LCM = 20452080
Thus, we can understand that the LCM of 762,635,762,976,660 is 20452080.
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FAQs on LCM of 762, 635, 762, 976, 660
1. What is the LCM of 762, 635, 762, 976, 660?
Answer: LCM of 762, 635, 762, 976, 660 is 20452080.
2. How to calculate the LCM of 762, 635, 762, 976, 660?
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 762, 635, 762, 976, 660.
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}.