LCM of 796, 708, 185, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 796, 708, 185, 720 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 796, 708, 185, 720. So, keep reading to learn more.
Given numbers are 796,708,185,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,708,185,720 is 312780240.
Find LCM of 796,708,185,720 with Prime Factorization
| 2 | 796, 708, 185, 720 |
| 2 | 398, 354, 185, 360 |
| 3 | 199, 177, 185, 180 |
| 5 | 199, 59, 185, 60 |
| 199, 59, 37, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 199 x 59 x 37 x 12 = 312780240
Therefore, the lowest common multiple of 796,708,185,720 is 312780240.
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.
796 x 708 x 185 x 720 = 75067257600
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.
796 : 1, 2, 4, 199, 398, 796
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
185 : 1, 5, 37, 185
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,708,185,720, is 1.
Now, the common factors can be found like this.
796:2x 2x 199
708:2x 2x 3x 59
185:5x 37
720:2x 2x 2x 2x 3x 3x 5
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 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 75067257600/(1x240)
LCM = 75067257600/240
LCM = 312780240
Thus, we can understand that the LCM of 796,708,185,720 is 312780240.
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FAQs on LCM of 796, 708, 185, 720
1. What is the LCM of 796, 708, 185, 720?
Answer: LCM of 796, 708, 185, 720 is 312780240.
2. How to calculate the LCM of 796, 708, 185, 720?
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 796, 708, 185, 720.
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}.