Find the LCM of 821, 688, 762, 722, 706 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 821, 688, 762, 722, 706. So, keep reading to learn more.
Given numbers are 821,688,762,722,706
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,688,762,722,706 is 27424484845104.
Find LCM of 821,688,762,722,706 with Prime Factorization
2 | 821, 688, 762, 722, 706 |
821, 344, 381, 361, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 821 x 344 x 381 x 361 x 353 = 27424484845104
Therefore, the lowest common multiple of 821,688,762,722,706 is 27424484845104.
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.
821 x 688 x 762 x 722 x 706 = 219395878760832
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.
821 : 1, 821
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
762 : 1, 2, 3, 6, 127, 254, 381, 762
722 : 1, 2, 19, 38, 361, 722
706 : 1, 2, 353, 706
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,688,762,722,706, is 1.
Now, the common factors can be found like this.
821:821
688:2x 2x 2x 2x 43
762:2x 3x 127
722:2x 19x 19
706:2x 353
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 = 219395878760832/(1x8)
LCM = 219395878760832/8
LCM = 27424484845104
Thus, we can understand that the LCM of 821,688,762,722,706 is 27424484845104.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 821, 688, 762, 722, 706?
Answer: LCM of 821, 688, 762, 722, 706 is 27424484845104.
2. How to calculate the LCM of 821, 688, 762, 722, 706?
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 821, 688, 762, 722, 706.
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}.