Find the LCM of 688, 501, 167, 714, 317 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 688, 501, 167, 714, 317. So, keep reading to learn more.
Given numbers are 688,501,167,714,317
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,501,167,714,317 is 13002665424.
Find LCM of 688,501,167,714,317 with Prime Factorization
2 | 688, 501, 167, 714, 317 |
3 | 344, 501, 167, 357, 317 |
167 | 344, 167, 167, 119, 317 |
344, 1, 1, 119, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 167 x 344 x 1 x 1 x 119 x 317 = 13002665424
Therefore, the lowest common multiple of 688,501,167,714,317 is 13002665424.
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.
688 x 501 x 167 x 714 x 317 = 13028670754848
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
501 : 1, 3, 167, 501
167 : 1, 167
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
317 : 1, 317
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,501,167,714,317, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
501:3x 167
167:167
714:2x 3x 7x 17
317:317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 167 = 1002
Therefore, the value for common factors is 1002.
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 = 13028670754848/(1x1002)
LCM = 13028670754848/1002
LCM = 13002665424
Thus, we can understand that the LCM of 688,501,167,714,317 is 13002665424.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 688, 501, 167, 714, 317?
Answer: LCM of 688, 501, 167, 714, 317 is 13002665424.
2. How to calculate the LCM of 688, 501, 167, 714, 317?
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 688, 501, 167, 714, 317.
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}.