Find the LCM of 661, 674, 138, 932, 407 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 661, 674, 138, 932, 407. So, keep reading to learn more.
Given numbers are 661,674,138,932,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 661,674,138,932,407 is 5830298262492.
Find LCM of 661,674,138,932,407 with Prime Factorization
2 | 661, 674, 138, 932, 407 |
661, 337, 69, 466, 407 |
Multiply the prime numbers at the bottom and the left side.
2 x 661 x 337 x 69 x 466 x 407 = 5830298262492
Therefore, the lowest common multiple of 661,674,138,932,407 is 5830298262492.
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.
661 x 674 x 138 x 932 x 407 = 23321193049968
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.
661 : 1, 661
674 : 1, 2, 337, 674
138 : 1, 2, 3, 6, 23, 46, 69, 138
932 : 1, 2, 4, 233, 466, 932
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,674,138,932,407, is 1.
Now, the common factors can be found like this.
661:661
674:2x 337
138:2x 3x 23
932:2x 2x 233
407:11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 23321193049968/(1x4)
LCM = 23321193049968/4
LCM = 5830298262492
Thus, we can understand that the LCM of 661,674,138,932,407 is 5830298262492.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 661, 674, 138, 932, 407?
Answer: LCM of 661, 674, 138, 932, 407 is 5830298262492.
2. How to calculate the LCM of 661, 674, 138, 932, 407?
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 661, 674, 138, 932, 407.
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}.