Find the LCM of 688, 731, 784, 847, 851 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, 731, 784, 847, 851. So, keep reading to learn more.
Given numbers are 688,731,784,847,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,731,784,847,851 is 59013091984.
Find LCM of 688,731,784,847,851 with Prime Factorization
2 | 688, 731, 784, 847, 851 |
2 | 344, 731, 392, 847, 851 |
2 | 172, 731, 196, 847, 851 |
2 | 86, 731, 98, 847, 851 |
7 | 43, 731, 49, 847, 851 |
43 | 43, 731, 7, 121, 851 |
1, 17, 7, 121, 851 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 43 x 1 x 17 x 7 x 121 x 851 = 59013091984
Therefore, the lowest common multiple of 688,731,784,847,851 is 59013091984.
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 731 x 784 x 847 x 851 = 284207050994944
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
731 : 1, 17, 43, 731
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
847 : 1, 7, 11, 77, 121, 847
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,731,784,847,851, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
731:17x 43
784:2x 2x 2x 2x 7x 7
847:7x 11x 11
851:23x 37
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 2x 7x 43 = 4816
Therefore, the value for common factors is 4816.
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 = 284207050994944/(1x4816)
LCM = 284207050994944/4816
LCM = 59013091984
Thus, we can understand that the LCM of 688,731,784,847,851 is 59013091984.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 688, 731, 784, 847, 851?
Answer: LCM of 688, 731, 784, 847, 851 is 59013091984.
2. How to calculate the LCM of 688, 731, 784, 847, 851?
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, 731, 784, 847, 851.
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}.