LCM of 796, 646, 803, 762, 879
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 796, 646, 803, 762, 879 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, 646, 803, 762, 879. So, keep reading to learn more.
Given numbers are 796,646,803,762,879
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,646,803,762,879 is 23047495103292.
Find LCM of 796,646,803,762,879 with Prime Factorization
| 2 | 796, 646, 803, 762, 879 |
| 3 | 398, 323, 803, 381, 879 |
| 398, 323, 803, 127, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 398 x 323 x 803 x 127 x 293 = 23047495103292
Therefore, the lowest common multiple of 796,646,803,762,879 is 23047495103292.
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 646 x 803 x 762 x 879 = 276569941239504
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
646 : 1, 2, 17, 19, 34, 38, 323, 646
803 : 1, 11, 73, 803
762 : 1, 2, 3, 6, 127, 254, 381, 762
879 : 1, 3, 293, 879
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,646,803,762,879, is 1.
Now, the common factors can be found like this.
796:2x 2x 199
646:2x 17x 19
803:11x 73
762:2x 3x 127
879:3x 293
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 3 = 12
Therefore, the value for common factors is 12.
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 = 276569941239504/(1x12)
LCM = 276569941239504/12
LCM = 23047495103292
Thus, we can understand that the LCM of 796,646,803,762,879 is 23047495103292.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 796, 646, 803, 762, 879
1. What is the LCM of 796, 646, 803, 762, 879?
Answer: LCM of 796, 646, 803, 762, 879 is 23047495103292.
2. How to calculate the LCM of 796, 646, 803, 762, 879?
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, 646, 803, 762, 879.
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}.