LCM of 706, 432, 451, 624, 128
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 706, 432, 451, 624, 128 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 706, 432, 451, 624, 128. So, keep reading to learn more.
Given numbers are 706,432,451,624,128
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,432,451,624,128 is 7152672384.
Find LCM of 706,432,451,624,128 with Prime Factorization
| 2 | 706, 432, 451, 624, 128 |
| 2 | 353, 216, 451, 312, 64 |
| 2 | 353, 108, 451, 156, 32 |
| 2 | 353, 54, 451, 78, 16 |
| 3 | 353, 27, 451, 39, 8 |
| 353, 9, 451, 13, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 353 x 9 x 451 x 13 x 8 = 7152672384
Therefore, the lowest common multiple of 706,432,451,624,128 is 7152672384.
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.
706 x 432 x 451 x 624 x 128 = 10986504781824
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.
706 : 1, 2, 353, 706
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
451 : 1, 11, 41, 451
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
128 : 1, 2, 4, 8, 16, 32, 64, 128
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,432,451,624,128, is 1.
Now, the common factors can be found like this.
706:2x 353
432:2x 2x 2x 2x 3x 3x 3
451:11x 41
624:2x 2x 2x 2x 3x 13
128:2x 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 2x 2x 3 = 1536
Therefore, the value for common factors is 1536.
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 = 10986504781824/(1x1536)
LCM = 10986504781824/1536
LCM = 7152672384
Thus, we can understand that the LCM of 706,432,451,624,128 is 7152672384.
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FAQs on LCM of 706, 432, 451, 624, 128
1. What is the LCM of 706, 432, 451, 624, 128?
Answer: LCM of 706, 432, 451, 624, 128 is 7152672384.
2. How to calculate the LCM of 706, 432, 451, 624, 128?
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 706, 432, 451, 624, 128.
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}.