Find the LCM of 309, 463, 746, 712, 149 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 309, 463, 746, 712, 149. So, keep reading to learn more.
Given numbers are 309,463,746,712,149
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,463,746,712,149 is 5661279077208.
Find LCM of 309,463,746,712,149 with Prime Factorization
2 | 309, 463, 746, 712, 149 |
309, 463, 373, 356, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 309 x 463 x 373 x 356 x 149 = 5661279077208
Therefore, the lowest common multiple of 309,463,746,712,149 is 5661279077208.
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.
309 x 463 x 746 x 712 x 149 = 11322558154416
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.
309 : 1, 3, 103, 309
463 : 1, 463
746 : 1, 2, 373, 746
712 : 1, 2, 4, 8, 89, 178, 356, 712
149 : 1, 149
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,463,746,712,149, is 1.
Now, the common factors can be found like this.
309:3x 103
463:463
746:2x 373
712:2x 2x 2x 89
149:149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 11322558154416/(1x2)
LCM = 11322558154416/2
LCM = 5661279077208
Thus, we can understand that the LCM of 309,463,746,712,149 is 5661279077208.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 309, 463, 746, 712, 149?
Answer: LCM of 309, 463, 746, 712, 149 is 5661279077208.
2. How to calculate the LCM of 309, 463, 746, 712, 149?
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 309, 463, 746, 712, 149.
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}.