LCM of 796, 623, 802, 763
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 796, 623, 802, 763 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, 623, 802, 763. So, keep reading to learn more.
Given numbers are 796,623,802,763
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,623,802,763 is 21675642772.
Find LCM of 796,623,802,763 with Prime Factorization
| 2 | 796, 623, 802, 763 |
| 7 | 398, 623, 401, 763 |
| 398, 89, 401, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 398 x 89 x 401 x 109 = 21675642772
Therefore, the lowest common multiple of 796,623,802,763 is 21675642772.
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 623 x 802 x 763 = 303458998808
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
623 : 1, 7, 89, 623
802 : 1, 2, 401, 802
763 : 1, 7, 109, 763
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,623,802,763, is 1.
Now, the common factors can be found like this.
796:2x 2x 199
623:7x 89
802:2x 401
763:7x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 303458998808/(1x14)
LCM = 303458998808/14
LCM = 21675642772
Thus, we can understand that the LCM of 796,623,802,763 is 21675642772.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 796, 623, 802, 763
1. What is the LCM of 796, 623, 802, 763?
Answer: LCM of 796, 623, 802, 763 is 21675642772.
2. How to calculate the LCM of 796, 623, 802, 763?
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, 623, 802, 763.
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}.