Find the LCM of 749, 714, 102, 449 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 749, 714, 102, 449. So, keep reading to learn more.
Given numbers are 749,714,102,449
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,714,102,449 is 34302702.
Find LCM of 749,714,102,449 with Prime Factorization
2 | 749, 714, 102, 449 |
3 | 749, 357, 51, 449 |
7 | 749, 119, 17, 449 |
17 | 107, 17, 17, 449 |
107, 1, 1, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 107 x 1 x 1 x 449 = 34302702
Therefore, the lowest common multiple of 749,714,102,449 is 34302702.
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.
749 x 714 x 102 x 449 = 24492129228
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.
749 : 1, 7, 107, 749
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
102 : 1, 2, 3, 6, 17, 34, 51, 102
449 : 1, 449
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,714,102,449, is 1.
Now, the common factors can be found like this.
749:7x 107
714:2x 3x 7x 17
102:2x 3x 17
449:449
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 17 = 714
Therefore, the value for common factors is 714.
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 = 24492129228/(1x714)
LCM = 24492129228/714
LCM = 34302702
Thus, we can understand that the LCM of 749,714,102,449 is 34302702.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 749, 714, 102, 449?
Answer: LCM of 749, 714, 102, 449 is 34302702.
2. How to calculate the LCM of 749, 714, 102, 449?
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 749, 714, 102, 449.
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}.