LCM of 714, 734, 720, 663
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 734, 720, 663 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 714, 734, 720, 663. So, keep reading to learn more.
Given numbers are 714,734,720,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,734,720,663 is 408779280.
Find LCM of 714,734,720,663 with Prime Factorization
| 2 | 714, 734, 720, 663 |
| 3 | 357, 367, 360, 663 |
| 17 | 119, 367, 120, 221 |
| 7, 367, 120, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 7 x 367 x 120 x 13 = 408779280
Therefore, the lowest common multiple of 714,734,720,663 is 408779280.
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.
714 x 734 x 720 x 663 = 250172919360
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
734 : 1, 2, 367, 734
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
663 : 1, 3, 13, 17, 39, 51, 221, 663
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,734,720,663, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
734:2x 367
720:2x 2x 2x 2x 3x 3x 5
663:3x 13x 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 17 = 612
Therefore, the value for common factors is 612.
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 = 250172919360/(1x612)
LCM = 250172919360/612
LCM = 408779280
Thus, we can understand that the LCM of 714,734,720,663 is 408779280.
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FAQs on LCM of 714, 734, 720, 663
1. What is the LCM of 714, 734, 720, 663?
Answer: LCM of 714, 734, 720, 663 is 408779280.
2. How to calculate the LCM of 714, 734, 720, 663?
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 714, 734, 720, 663.
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}.