Find the LCM of 688, 401, 690, 340, 907 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, 401, 690, 340, 907. So, keep reading to learn more.
Given numbers are 688,401,690,340,907
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,401,690,340,907 is 1467601389840.
Find LCM of 688,401,690,340,907 with Prime Factorization
2 | 688, 401, 690, 340, 907 |
2 | 344, 401, 345, 170, 907 |
5 | 172, 401, 345, 85, 907 |
172, 401, 69, 17, 907 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 172 x 401 x 69 x 17 x 907 = 1467601389840
Therefore, the lowest common multiple of 688,401,690,340,907 is 1467601389840.
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 401 x 690 x 340 x 907 = 58704055593600
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
401 : 1, 401
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
907 : 1, 907
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,401,690,340,907, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
401:401
690:2x 3x 5x 23
340:2x 2x 5x 17
907:907
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 5 = 40
Therefore, the value for common factors is 40.
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 = 58704055593600/(1x40)
LCM = 58704055593600/40
LCM = 1467601389840
Thus, we can understand that the LCM of 688,401,690,340,907 is 1467601389840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 688, 401, 690, 340, 907?
Answer: LCM of 688, 401, 690, 340, 907 is 1467601389840.
2. How to calculate the LCM of 688, 401, 690, 340, 907?
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, 401, 690, 340, 907.
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}.