Find the LCM of 634, 711, 310, 196, 686 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 634, 711, 310, 196, 686. So, keep reading to learn more.
Given numbers are 634,711,310,196,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 634,711,310,196,686 is 47930799420.
Find LCM of 634,711,310,196,686 with Prime Factorization
2 | 634, 711, 310, 196, 686 |
7 | 317, 711, 155, 98, 343 |
7 | 317, 711, 155, 14, 49 |
317, 711, 155, 2, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 7 x 317 x 711 x 155 x 2 x 7 = 47930799420
Therefore, the lowest common multiple of 634,711,310,196,686 is 47930799420.
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.
634 x 711 x 310 x 196 x 686 = 18788873372640
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.
634 : 1, 2, 317, 634
711 : 1, 3, 9, 79, 237, 711
310 : 1, 2, 5, 10, 31, 62, 155, 310
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
686 : 1, 2, 7, 14, 49, 98, 343, 686
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,711,310,196,686, is 1.
Now, the common factors can be found like this.
634:2x 317
711:3x 3x 79
310:2x 5x 31
196:2x 2x 7x 7
686:2x 7x 7x 7
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 7x 7 = 392
Therefore, the value for common factors is 392.
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 = 18788873372640/(1x392)
LCM = 18788873372640/392
LCM = 47930799420
Thus, we can understand that the LCM of 634,711,310,196,686 is 47930799420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 634, 711, 310, 196, 686?
Answer: LCM of 634, 711, 310, 196, 686 is 47930799420.
2. How to calculate the LCM of 634, 711, 310, 196, 686?
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 634, 711, 310, 196, 686.
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}.