Find the LCM of 706, 719, 308, 533, 989 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 706, 719, 308, 533, 989. So, keep reading to learn more.
Given numbers are 706,719,308,533,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,719,308,533,989 is 41207646652172.
Find LCM of 706,719,308,533,989 with Prime Factorization
2 | 706, 719, 308, 533, 989 |
353, 719, 154, 533, 989 |
Multiply the prime numbers at the bottom and the left side.
2 x 353 x 719 x 154 x 533 x 989 = 41207646652172
Therefore, the lowest common multiple of 706,719,308,533,989 is 41207646652172.
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.
706 x 719 x 308 x 533 x 989 = 82415293304344
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.
706 : 1, 2, 353, 706
719 : 1, 719
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
533 : 1, 13, 41, 533
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,719,308,533,989, is 1.
Now, the common factors can be found like this.
706:2x 353
719:719
308:2x 2x 7x 11
533:13x 41
989:23x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 82415293304344/(1x2)
LCM = 82415293304344/2
LCM = 41207646652172
Thus, we can understand that the LCM of 706,719,308,533,989 is 41207646652172.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 706, 719, 308, 533, 989?
Answer: LCM of 706, 719, 308, 533, 989 is 41207646652172.
2. How to calculate the LCM of 706, 719, 308, 533, 989?
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 706, 719, 308, 533, 989.
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}.