LCM of 761, 792, 101, 135, 582
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 761, 792, 101, 135, 582 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 761, 792, 101, 135, 582. So, keep reading to learn more.
Given numbers are 761,792,101,135,582
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 761,792,101,135,582 is 88571541960.
Find LCM of 761,792,101,135,582 with Prime Factorization
| 2 | 761, 792, 101, 135, 582 |
| 3 | 761, 396, 101, 135, 291 |
| 3 | 761, 132, 101, 45, 97 |
| 761, 44, 101, 15, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 761 x 44 x 101 x 15 x 97 = 88571541960
Therefore, the lowest common multiple of 761,792,101,135,582 is 88571541960.
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.
761 x 792 x 101 x 135 x 582 = 4782863265840
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.
761 : 1, 761
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
101 : 1, 101
135 : 1, 3, 5, 9, 15, 27, 45, 135
582 : 1, 2, 3, 6, 97, 194, 291, 582
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 761,792,101,135,582, is 1.
Now, the common factors can be found like this.
761:761
792:2x 2x 2x 3x 3x 11
101:101
135:3x 3x 3x 5
582:2x 3x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 4782863265840/(1x54)
LCM = 4782863265840/54
LCM = 88571541960
Thus, we can understand that the LCM of 761,792,101,135,582 is 88571541960.
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FAQs on LCM of 761, 792, 101, 135, 582
1. What is the LCM of 761, 792, 101, 135, 582?
Answer: LCM of 761, 792, 101, 135, 582 is 88571541960.
2. How to calculate the LCM of 761, 792, 101, 135, 582?
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 761, 792, 101, 135, 582.
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}.