LCM of 862, 463, 926, 461
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 862, 463, 926, 461 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 862, 463, 926, 461. So, keep reading to learn more.
Given numbers are 862,463,926,461
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 862,463,926,461 is 183987866.
Find LCM of 862,463,926,461 with Prime Factorization
| 2 | 862, 463, 926, 461 |
| 463 | 431, 463, 463, 461 |
| 431, 1, 1, 461 |
Multiply the prime numbers at the bottom and the left side.
2 x 463 x 431 x 1 x 1 x 461 = 183987866
Therefore, the lowest common multiple of 862,463,926,461 is 183987866.
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.
862 x 463 x 926 x 461 = 170372763916
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.
862 : 1, 2, 431, 862
463 : 1, 463
926 : 1, 2, 463, 926
461 : 1, 461
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,463,926,461, is 1.
Now, the common factors can be found like this.
862:2x 431
463:463
926:2x 463
461:461
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 463 = 926
Therefore, the value for common factors is 926.
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 = 170372763916/(1x926)
LCM = 170372763916/926
LCM = 183987866
Thus, we can understand that the LCM of 862,463,926,461 is 183987866.
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FAQs on LCM of 862, 463, 926, 461
1. What is the LCM of 862, 463, 926, 461?
Answer: LCM of 862, 463, 926, 461 is 183987866.
2. How to calculate the LCM of 862, 463, 926, 461?
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 862, 463, 926, 461.
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}.