Find the LCM of 851, 890, 274, 688, 817 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 851, 890, 274, 688, 817. So, keep reading to learn more.
Given numbers are 851,890,274,688,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,890,274,688,817 is 678191242480.
Find LCM of 851,890,274,688,817 with Prime Factorization
2 | 851, 890, 274, 688, 817 |
43 | 851, 445, 137, 344, 817 |
851, 445, 137, 8, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 43 x 851 x 445 x 137 x 8 x 19 = 678191242480
Therefore, the lowest common multiple of 851,890,274,688,817 is 678191242480.
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.
851 x 890 x 274 x 688 x 817 = 116648893706560
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.
851 : 1, 23, 37, 851
890 : 1, 2, 5, 10, 89, 178, 445, 890
274 : 1, 2, 137, 274
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,890,274,688,817, is 1.
Now, the common factors can be found like this.
851:23x 37
890:2x 5x 89
274:2x 137
688:2x 2x 2x 2x 43
817:19x 43
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 43 = 172
Therefore, the value for common factors is 172.
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 = 116648893706560/(1x172)
LCM = 116648893706560/172
LCM = 678191242480
Thus, we can understand that the LCM of 851,890,274,688,817 is 678191242480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 851, 890, 274, 688, 817?
Answer: LCM of 851, 890, 274, 688, 817 is 678191242480.
2. How to calculate the LCM of 851, 890, 274, 688, 817?
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 851, 890, 274, 688, 817.
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}.