LCM of 749, 685, 755, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 685, 755, 990 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, 685, 755, 990. So, keep reading to learn more.
Given numbers are 749,685,755,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,685,755,990 is 15339617370.
Find LCM of 749,685,755,990 with Prime Factorization
| 5 | 749, 685, 755, 990 |
| 749, 137, 151, 198 |
Multiply the prime numbers at the bottom and the left side.
5 x 749 x 137 x 151 x 198 = 15339617370
Therefore, the lowest common multiple of 749,685,755,990 is 15339617370.
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 685 x 755 x 990 = 383490434250
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
685 : 1, 5, 137, 685
755 : 1, 5, 151, 755
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,685,755,990, is 1.
Now, the common factors can be found like this.
749:7x 107
685:5x 137
755:5x 151
990:2x 3x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5 = 25
Therefore, the value for common factors is 25.
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 = 383490434250/(1x25)
LCM = 383490434250/25
LCM = 15339617370
Thus, we can understand that the LCM of 749,685,755,990 is 15339617370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 749, 685, 755, 990
1. What is the LCM of 749, 685, 755, 990?
Answer: LCM of 749, 685, 755, 990 is 15339617370.
2. How to calculate the LCM of 749, 685, 755, 990?
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, 685, 755, 990.
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}.