Find the LCM of 749, 738, 705, 450, 816 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, 738, 705, 450, 816. So, keep reading to learn more.
Given numbers are 749,738,705,450,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,738,705,450,816 is 88331367600.
Find LCM of 749,738,705,450,816 with Prime Factorization
2 | 749, 738, 705, 450, 816 |
3 | 749, 369, 705, 225, 408 |
3 | 749, 123, 235, 75, 136 |
5 | 749, 41, 235, 25, 136 |
749, 41, 47, 5, 136 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 749 x 41 x 47 x 5 x 136 = 88331367600
Therefore, the lowest common multiple of 749,738,705,450,816 is 88331367600.
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 738 x 705 x 450 x 816 = 143096815512000
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
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
705 : 1, 3, 5, 15, 47, 141, 235, 705
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,738,705,450,816, is 1.
Now, the common factors can be found like this.
749:7x 107
738:2x 3x 3x 41
705:3x 5x 47
450:2x 3x 3x 5x 5
816:2x 2x 2x 2x 3x 17
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 3x 3x 3x 3x 5 = 1620
Therefore, the value for common factors is 1620.
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 = 143096815512000/(1x1620)
LCM = 143096815512000/1620
LCM = 88331367600
Thus, we can understand that the LCM of 749,738,705,450,816 is 88331367600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 749, 738, 705, 450, 816?
Answer: LCM of 749, 738, 705, 450, 816 is 88331367600.
2. How to calculate the LCM of 749, 738, 705, 450, 816?
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, 738, 705, 450, 816.
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}.