LCM of 775, 660, 322, 985, 528
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 775, 660, 322, 985, 528 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 775, 660, 322, 985, 528. So, keep reading to learn more.
Given numbers are 775,660,322,985,528
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 775,660,322,985,528 is 12978596400.
Find LCM of 775,660,322,985,528 with Prime Factorization
| 2 | 775, 660, 322, 985, 528 |
| 2 | 775, 330, 161, 985, 264 |
| 3 | 775, 165, 161, 985, 132 |
| 5 | 775, 55, 161, 985, 44 |
| 11 | 155, 11, 161, 197, 44 |
| 155, 1, 161, 197, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 155 x 1 x 161 x 197 x 4 = 12978596400
Therefore, the lowest common multiple of 775,660,322,985,528 is 12978596400.
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.
775 x 660 x 322 x 985 x 528 = 85658736240000
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.
775 : 1, 5, 25, 31, 155, 775
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
322 : 1, 2, 7, 14, 23, 46, 161, 322
985 : 1, 5, 197, 985
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,660,322,985,528, is 1.
Now, the common factors can be found like this.
775:5x 5x 31
660:2x 2x 3x 5x 11
322:2x 7x 23
985:5x 197
528:2x 2x 2x 2x 3x 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 3x 5x 5x 11 = 6600
Therefore, the value for common factors is 6600.
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 = 85658736240000/(1x6600)
LCM = 85658736240000/6600
LCM = 12978596400
Thus, we can understand that the LCM of 775,660,322,985,528 is 12978596400.
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FAQs on LCM of 775, 660, 322, 985, 528
1. What is the LCM of 775, 660, 322, 985, 528?
Answer: LCM of 775, 660, 322, 985, 528 is 12978596400.
2. How to calculate the LCM of 775, 660, 322, 985, 528?
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 775, 660, 322, 985, 528.
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}.