Find the LCM of 637, 767, 904, 171, 920 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 637, 767, 904, 171, 920. So, keep reading to learn more.
Given numbers are 637,767,904,171,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 637,767,904,171,920 is 668119004280.
Find LCM of 637,767,904,171,920 with Prime Factorization
2 | 637, 767, 904, 171, 920 |
2 | 637, 767, 452, 171, 460 |
2 | 637, 767, 226, 171, 230 |
13 | 637, 767, 113, 171, 115 |
49, 59, 113, 171, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 49 x 59 x 113 x 171 x 115 = 668119004280
Therefore, the lowest common multiple of 637,767,904,171,920 is 668119004280.
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.
637 x 767 x 904 x 171 x 920 = 69484376445120
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.
637 : 1, 7, 13, 49, 91, 637
767 : 1, 13, 59, 767
904 : 1, 2, 4, 8, 113, 226, 452, 904
171 : 1, 3, 9, 19, 57, 171
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,767,904,171,920, is 1.
Now, the common factors can be found like this.
637:7x 7x 13
767:13x 59
904:2x 2x 2x 113
171:3x 3x 19
920:2x 2x 2x 5x 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 2x 13 = 104
Therefore, the value for common factors is 104.
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 = 69484376445120/(1x104)
LCM = 69484376445120/104
LCM = 668119004280
Thus, we can understand that the LCM of 637,767,904,171,920 is 668119004280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 637, 767, 904, 171, 920?
Answer: LCM of 637, 767, 904, 171, 920 is 668119004280.
2. How to calculate the LCM of 637, 767, 904, 171, 920?
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 637, 767, 904, 171, 920.
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}.