Find the LCM of 862, 701, 869, 689, 431 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, 701, 869, 689, 431. So, keep reading to learn more.
Given numbers are 862,701,869,689,431
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 862,701,869,689,431 is 361796434142.
Find LCM of 862,701,869,689,431 with Prime Factorization
431 | 862, 701, 869, 689, 431 |
2, 701, 869, 689, 1 |
Multiply the prime numbers at the bottom and the left side.
431 x 2 x 701 x 869 x 689 x 1 = 361796434142
Therefore, the lowest common multiple of 862,701,869,689,431 is 361796434142.
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 701 x 869 x 689 x 431 = 155934263115202
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
701 : 1, 701
869 : 1, 11, 79, 869
689 : 1, 13, 53, 689
431 : 1, 431
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,701,869,689,431, is 1.
Now, the common factors can be found like this.
862:2x 431
701:701
869:11x 79
689:13x 53
431:431
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
431 = 431
Therefore, the value for common factors is 431.
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 = 155934263115202/(1x431)
LCM = 155934263115202/431
LCM = 361796434142
Thus, we can understand that the LCM of 862,701,869,689,431 is 361796434142.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 862, 701, 869, 689, 431?
Answer: LCM of 862, 701, 869, 689, 431 is 361796434142.
2. How to calculate the LCM of 862, 701, 869, 689, 431?
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, 701, 869, 689, 431.
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}.