Find the LCM of 467, 689, 754, 701 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 467, 689, 754, 701. So, keep reading to learn more.
Given numbers are 467,689,754,701
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,689,754,701 is 13082240054.
Find LCM of 467,689,754,701 with Prime Factorization
13 | 467, 689, 754, 701 |
467, 53, 58, 701 |
Multiply the prime numbers at the bottom and the left side.
13 x 467 x 53 x 58 x 701 = 13082240054
Therefore, the lowest common multiple of 467,689,754,701 is 13082240054.
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.
467 x 689 x 754 x 701 = 170069120702
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.
467 : 1, 467
689 : 1, 13, 53, 689
754 : 1, 2, 13, 26, 29, 58, 377, 754
701 : 1, 701
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,689,754,701, is 1.
Now, the common factors can be found like this.
467:467
689:13x 53
754:2x 13x 29
701:701
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 170069120702/(1x13)
LCM = 170069120702/13
LCM = 13082240054
Thus, we can understand that the LCM of 467,689,754,701 is 13082240054.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 467, 689, 754, 701?
Answer: LCM of 467, 689, 754, 701 is 13082240054.
2. How to calculate the LCM of 467, 689, 754, 701?
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 467, 689, 754, 701.
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}.