LCM of 661, 652, 373, 448, 512
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 661, 652, 373, 448, 512 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 661, 652, 373, 448, 512. So, keep reading to learn more.
Given numbers are 661,652,373,448,512
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 661,652,373,448,512 is 144034290176.
Find LCM of 661,652,373,448,512 with Prime Factorization
| 2 | 661, 652, 373, 448, 512 |
| 2 | 661, 326, 373, 224, 256 |
| 2 | 661, 163, 373, 112, 128 |
| 2 | 661, 163, 373, 56, 64 |
| 2 | 661, 163, 373, 28, 32 |
| 2 | 661, 163, 373, 14, 16 |
| 661, 163, 373, 7, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 661 x 163 x 373 x 7 x 8 = 144034290176
Therefore, the lowest common multiple of 661,652,373,448,512 is 144034290176.
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.
661 x 652 x 373 x 448 x 512 = 36872778285056
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.
661 : 1, 661
652 : 1, 2, 4, 163, 326, 652
373 : 1, 373
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,652,373,448,512, is 1.
Now, the common factors can be found like this.
661:661
652:2x 2x 163
373:373
448:2x 2x 2x 2x 2x 2x 7
512:2x 2x 2x 2x 2x 2x 2x 2x 2
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 2x 2x 2x 2 = 256
Therefore, the value for common factors is 256.
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 = 36872778285056/(1x256)
LCM = 36872778285056/256
LCM = 144034290176
Thus, we can understand that the LCM of 661,652,373,448,512 is 144034290176.
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FAQs on LCM of 661, 652, 373, 448, 512
1. What is the LCM of 661, 652, 373, 448, 512?
Answer: LCM of 661, 652, 373, 448, 512 is 144034290176.
2. How to calculate the LCM of 661, 652, 373, 448, 512?
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 661, 652, 373, 448, 512.
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}.