Find the LCM of 688, 397, 738, 186, 635 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, 397, 738, 186, 635. So, keep reading to learn more.
Given numbers are 688,397,738,186,635
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,397,738,186,635 is 1983995717040.
Find LCM of 688,397,738,186,635 with Prime Factorization
2 | 688, 397, 738, 186, 635 |
3 | 344, 397, 369, 93, 635 |
344, 397, 123, 31, 635 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 344 x 397 x 123 x 31 x 635 = 1983995717040
Therefore, the lowest common multiple of 688,397,738,186,635 is 1983995717040.
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 397 x 738 x 186 x 635 = 23807948604480
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
397 : 1, 397
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
186 : 1, 2, 3, 6, 31, 62, 93, 186
635 : 1, 5, 127, 635
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,397,738,186,635, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
397:397
738:2x 3x 3x 41
186:2x 3x 31
635:5x 127
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 3 = 12
Therefore, the value for common factors is 12.
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 = 23807948604480/(1x12)
LCM = 23807948604480/12
LCM = 1983995717040
Thus, we can understand that the LCM of 688,397,738,186,635 is 1983995717040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 688, 397, 738, 186, 635?
Answer: LCM of 688, 397, 738, 186, 635 is 1983995717040.
2. How to calculate the LCM of 688, 397, 738, 186, 635?
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, 397, 738, 186, 635.
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}.