LCM of 690, 752, 642, 706, 256
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 690, 752, 642, 706, 256 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 690, 752, 642, 706, 256. So, keep reading to learn more.
Given numbers are 690,752,642,706,256
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,752,642,706,256 is 156788931840.
Find LCM of 690,752,642,706,256 with Prime Factorization
| 2 | 690, 752, 642, 706, 256 |
| 2 | 345, 376, 321, 353, 128 |
| 2 | 345, 188, 321, 353, 64 |
| 2 | 345, 94, 321, 353, 32 |
| 3 | 345, 47, 321, 353, 16 |
| 115, 47, 107, 353, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 115 x 47 x 107 x 353 x 16 = 156788931840
Therefore, the lowest common multiple of 690,752,642,706,256 is 156788931840.
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.
690 x 752 x 642 x 706 x 256 = 60206949826560
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.
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
642 : 1, 2, 3, 6, 107, 214, 321, 642
706 : 1, 2, 353, 706
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,752,642,706,256, is 2.
Now, the common factors can be found like this.
690:2x 3x 5x 23
752:2x 2x 2x 2x 47
642:2x 3x 107
706:2x 353
256:2x 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 3 = 192
Therefore, the value for common factors is 192.
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 = 60206949826560/(2x192)
LCM = 60206949826560/384
LCM = 156788931840
Thus, we can understand that the LCM of 690,752,642,706,256 is 156788931840.
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FAQs on LCM of 690, 752, 642, 706, 256
1. What is the LCM of 690, 752, 642, 706, 256?
Answer: LCM of 690, 752, 642, 706, 256 is 156788931840.
2. How to calculate the LCM of 690, 752, 642, 706, 256?
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 690, 752, 642, 706, 256.
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}.