LCM of 967, 364, 796, 478
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 364, 796, 478 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 967, 364, 796, 478. So, keep reading to learn more.
Given numbers are 967,364,796,478
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,364,796,478 is 16740901268.
Find LCM of 967,364,796,478 with Prime Factorization
| 2 | 967, 364, 796, 478 |
| 2 | 967, 182, 398, 239 |
| 967, 91, 199, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 967 x 91 x 199 x 239 = 16740901268
Therefore, the lowest common multiple of 967,364,796,478 is 16740901268.
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.
967 x 364 x 796 x 478 = 133927210144
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.
967 : 1, 967
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
796 : 1, 2, 4, 199, 398, 796
478 : 1, 2, 239, 478
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,364,796,478, is 1.
Now, the common factors can be found like this.
967:967
364:2x 2x 7x 13
796:2x 2x 199
478:2x 239
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 2 = 8
Therefore, the value for common factors is 8.
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 = 133927210144/(1x8)
LCM = 133927210144/8
LCM = 16740901268
Thus, we can understand that the LCM of 967,364,796,478 is 16740901268.
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FAQs on LCM of 967, 364, 796, 478
1. What is the LCM of 967, 364, 796, 478?
Answer: LCM of 967, 364, 796, 478 is 16740901268.
2. How to calculate the LCM of 967, 364, 796, 478?
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 967, 364, 796, 478.
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}.