LCM of 655, 168, 824, 512, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 655, 168, 824, 512, 906 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 655, 168, 824, 512, 906. So, keep reading to learn more.
Given numbers are 655,168,824,512,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,168,824,512,906 is 109532935680.
Find LCM of 655,168,824,512,906 with Prime Factorization
| 2 | 655, 168, 824, 512, 906 |
| 2 | 655, 84, 412, 256, 453 |
| 2 | 655, 42, 206, 128, 453 |
| 3 | 655, 21, 103, 64, 453 |
| 655, 7, 103, 64, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 655 x 7 x 103 x 64 x 151 = 109532935680
Therefore, the lowest common multiple of 655,168,824,512,906 is 109532935680.
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.
655 x 168 x 824 x 512 x 906 = 42060647301120
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.
655 : 1, 5, 131, 655
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
824 : 1, 2, 4, 8, 103, 206, 412, 824
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,168,824,512,906, is 1.
Now, the common factors can be found like this.
655:5x 131
168:2x 2x 2x 3x 7
824:2x 2x 2x 103
512:2x 2x 2x 2x 2x 2x 2x 2x 2
906:2x 3x 151
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 3 = 384
Therefore, the value for common factors is 384.
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 = 42060647301120/(1x384)
LCM = 42060647301120/384
LCM = 109532935680
Thus, we can understand that the LCM of 655,168,824,512,906 is 109532935680.
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FAQs on LCM of 655, 168, 824, 512, 906
1. What is the LCM of 655, 168, 824, 512, 906?
Answer: LCM of 655, 168, 824, 512, 906 is 109532935680.
2. How to calculate the LCM of 655, 168, 824, 512, 906?
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 655, 168, 824, 512, 906.
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}.