Find the LCM of 667, 737, 869, 240, 889 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 667, 737, 869, 240, 889. So, keep reading to learn more.
Given numbers are 667,737,869,240,889
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,737,869,240,889 is 8285780339760.
Find LCM of 667,737,869,240,889 with Prime Factorization
11 | 667, 737, 869, 240, 889 |
667, 67, 79, 240, 889 |
Multiply the prime numbers at the bottom and the left side.
11 x 667 x 67 x 79 x 240 x 889 = 8285780339760
Therefore, the lowest common multiple of 667,737,869,240,889 is 8285780339760.
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.
667 x 737 x 869 x 240 x 889 = 91143583737360
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.
667 : 1, 23, 29, 667
737 : 1, 11, 67, 737
869 : 1, 11, 79, 869
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
889 : 1, 7, 127, 889
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,737,869,240,889, is 1.
Now, the common factors can be found like this.
667:23x 29
737:11x 67
869:11x 79
240:2x 2x 2x 2x 3x 5
889:7x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 91143583737360/(1x11)
LCM = 91143583737360/11
LCM = 8285780339760
Thus, we can understand that the LCM of 667,737,869,240,889 is 8285780339760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 667, 737, 869, 240, 889?
Answer: LCM of 667, 737, 869, 240, 889 is 8285780339760.
2. How to calculate the LCM of 667, 737, 869, 240, 889?
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 667, 737, 869, 240, 889.
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}.