Find the LCM of 392, 648, 126, 701, 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 392, 648, 126, 701, 434. So, keep reading to learn more.
Given numbers are 392,648,126,701,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 392,648,126,701,434 is 690002712.
Find LCM of 392,648,126,701,434 with Prime Factorization
2 | 392, 648, 126, 701, 434 |
2 | 196, 324, 63, 701, 217 |
2 | 98, 162, 63, 701, 217 |
3 | 49, 81, 63, 701, 217 |
3 | 49, 27, 21, 701, 217 |
7 | 49, 9, 7, 701, 217 |
1, 9, 7, 701, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 7 x 1 x 9 x 7 x 701 x 31 = 690002712
Therefore, the lowest common multiple of 392,648,126,701,434 is 690002712.
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.
392 x 648 x 126 x 701 x 434 = 9737318271744
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.
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
701 : 1, 701
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 392,648,126,701,434, is 1.
Now, the common factors can be found like this.
392:2x 2x 2x 7x 7
648:2x 2x 2x 3x 3x 3x 3
126:2x 3x 3x 7
701:701
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 3x 3x 7x 7 = 14112
Therefore, the value for common factors is 14112.
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 = 9737318271744/(1x14112)
LCM = 9737318271744/14112
LCM = 690002712
Thus, we can understand that the LCM of 392,648,126,701,434 is 690002712.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 392, 648, 126, 701, 434?
Answer: LCM of 392, 648, 126, 701, 434 is 690002712.
2. How to calculate the LCM of 392, 648, 126, 701, 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 392, 648, 126, 701, 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}.