Find the LCM of 133, 688, 668, 432, 434 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 133, 688, 668, 432, 434. So, keep reading to learn more.
Given numbers are 133,688,668,432,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 133,688,668,432,434 is 12790337616.
Find LCM of 133,688,668,432,434 with Prime Factorization
2 | 133, 688, 668, 432, 434 |
2 | 133, 344, 334, 216, 217 |
2 | 133, 172, 167, 108, 217 |
2 | 133, 86, 167, 54, 217 |
7 | 133, 43, 167, 27, 217 |
19, 43, 167, 27, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 19 x 43 x 167 x 27 x 31 = 12790337616
Therefore, the lowest common multiple of 133,688,668,432,434 is 12790337616.
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.
133 x 688 x 668 x 432 x 434 = 11460142503936
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.
133 : 1, 7, 19, 133
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
668 : 1, 2, 4, 167, 334, 668
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
434 : 1, 2, 7, 14, 31, 62, 217, 434
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,688,668,432,434, is 1.
Now, the common factors can be found like this.
133:7x 19
688:2x 2x 2x 2x 43
668:2x 2x 167
432:2x 2x 2x 2x 3x 3x 3
434:2x 7x 31
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 7 = 896
Therefore, the value for common factors is 896.
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 = 11460142503936/(1x896)
LCM = 11460142503936/896
LCM = 12790337616
Thus, we can understand that the LCM of 133,688,668,432,434 is 12790337616.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 133, 688, 668, 432, 434?
Answer: LCM of 133, 688, 668, 432, 434 is 12790337616.
2. How to calculate the LCM of 133, 688, 668, 432, 434?
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 133, 688, 668, 432, 434.
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}.