Find the LCM of 556, 715, 402, 201 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 556, 715, 402, 201. So, keep reading to learn more.
Given numbers are 556,715,402,201
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,715,402,201 is 79905540.
Find LCM of 556,715,402,201 with Prime Factorization
2 | 556, 715, 402, 201 |
3 | 278, 715, 201, 201 |
67 | 278, 715, 67, 67 |
278, 715, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 67 x 278 x 715 x 1 x 1 = 79905540
Therefore, the lowest common multiple of 556,715,402,201 is 79905540.
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.
556 x 715 x 402 x 201 = 32122027080
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.
556 : 1, 2, 4, 139, 278, 556
715 : 1, 5, 11, 13, 55, 65, 143, 715
402 : 1, 2, 3, 6, 67, 134, 201, 402
201 : 1, 3, 67, 201
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,715,402,201, is 1.
Now, the common factors can be found like this.
556:2x 2x 139
715:5x 11x 13
402:2x 3x 67
201:3x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 67 = 402
Therefore, the value for common factors is 402.
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 = 32122027080/(1x402)
LCM = 32122027080/402
LCM = 79905540
Thus, we can understand that the LCM of 556,715,402,201 is 79905540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 556, 715, 402, 201?
Answer: LCM of 556, 715, 402, 201 is 79905540.
2. How to calculate the LCM of 556, 715, 402, 201?
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 556, 715, 402, 201.
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}.