Find the LCM of 767, 412, 869, 664, 137 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 767, 412, 869, 664, 137. So, keep reading to learn more.
Given numbers are 767,412,869,664,137
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,412,869,664,137 is 6245123219192.
Find LCM of 767,412,869,664,137 with Prime Factorization
2 | 767, 412, 869, 664, 137 |
2 | 767, 206, 869, 332, 137 |
767, 103, 869, 166, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 767 x 103 x 869 x 166 x 137 = 6245123219192
Therefore, the lowest common multiple of 767,412,869,664,137 is 6245123219192.
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.
767 x 412 x 869 x 664 x 137 = 24980492876768
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.
767 : 1, 13, 59, 767
412 : 1, 2, 4, 103, 206, 412
869 : 1, 11, 79, 869
664 : 1, 2, 4, 8, 83, 166, 332, 664
137 : 1, 137
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,412,869,664,137, is 1.
Now, the common factors can be found like this.
767:13x 59
412:2x 2x 103
869:11x 79
664:2x 2x 2x 83
137:137
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 = 24980492876768/(1x4)
LCM = 24980492876768/4
LCM = 6245123219192
Thus, we can understand that the LCM of 767,412,869,664,137 is 6245123219192.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 767, 412, 869, 664, 137?
Answer: LCM of 767, 412, 869, 664, 137 is 6245123219192.
2. How to calculate the LCM of 767, 412, 869, 664, 137?
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 767, 412, 869, 664, 137.
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}.