Find the LCM of 767, 478, 899, 240, 644 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, 478, 899, 240, 644. So, keep reading to learn more.
Given numbers are 767,478,899,240,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,478,899,240,644 is 6367809673680.
Find LCM of 767,478,899,240,644 with Prime Factorization
2 | 767, 478, 899, 240, 644 |
2 | 767, 239, 899, 120, 322 |
767, 239, 899, 60, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 767 x 239 x 899 x 60 x 161 = 6367809673680
Therefore, the lowest common multiple of 767,478,899,240,644 is 6367809673680.
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 478 x 899 x 240 x 644 = 50942477389440
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
478 : 1, 2, 239, 478
899 : 1, 29, 31, 899
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,478,899,240,644, is 1.
Now, the common factors can be found like this.
767:13x 59
478:2x 239
899:29x 31
240:2x 2x 2x 2x 3x 5
644:2x 2x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2 = 8
Therefore, the value for common factors is 8.
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 = 50942477389440/(1x8)
LCM = 50942477389440/8
LCM = 6367809673680
Thus, we can understand that the LCM of 767,478,899,240,644 is 6367809673680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 767, 478, 899, 240, 644?
Answer: LCM of 767, 478, 899, 240, 644 is 6367809673680.
2. How to calculate the LCM of 767, 478, 899, 240, 644?
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, 478, 899, 240, 644.
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}.