Find the LCM of 979, 694, 722, 562, 906 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 979, 694, 722, 562, 906. So, keep reading to learn more.
Given numbers are 979,694,722,562,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,694,722,562,906 is 31221508748298.
Find LCM of 979,694,722,562,906 with Prime Factorization
2 | 979, 694, 722, 562, 906 |
979, 347, 361, 281, 453 |
Multiply the prime numbers at the bottom and the left side.
2 x 979 x 347 x 361 x 281 x 453 = 31221508748298
Therefore, the lowest common multiple of 979,694,722,562,906 is 31221508748298.
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.
979 x 694 x 722 x 562 x 906 = 249772069986384
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.
979 : 1, 11, 89, 979
694 : 1, 2, 347, 694
722 : 1, 2, 19, 38, 361, 722
562 : 1, 2, 281, 562
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,694,722,562,906, is 1.
Now, the common factors can be found like this.
979:11x 89
694:2x 347
722:2x 19x 19
562:2x 281
906:2x 3x 151
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 2 = 8
Therefore, the value for common factors is 8.
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 = 249772069986384/(1x8)
LCM = 249772069986384/8
LCM = 31221508748298
Thus, we can understand that the LCM of 979,694,722,562,906 is 31221508748298.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 979, 694, 722, 562, 906?
Answer: LCM of 979, 694, 722, 562, 906 is 31221508748298.
2. How to calculate the LCM of 979, 694, 722, 562, 906?
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 979, 694, 722, 562, 906.
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}.