Find the LCM of 262, 804, 743, 743, 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 262, 804, 743, 743, 851. So, keep reading to learn more.
Given numbers are 262,804,743,743,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,804,743,743,851 is 66595627932.
Find LCM of 262,804,743,743,851 with Prime Factorization
2 | 262, 804, 743, 743, 851 |
743 | 131, 402, 743, 743, 851 |
131, 402, 1, 1, 851 |
Multiply the prime numbers at the bottom and the left side.
2 x 743 x 131 x 402 x 1 x 1 x 851 = 66595627932
Therefore, the lowest common multiple of 262,804,743,743,851 is 66595627932.
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.
262 x 804 x 743 x 743 x 851 = 98961103106952
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.
262 : 1, 2, 131, 262
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
743 : 1, 743
743 : 1, 743
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,804,743,743,851, is 1.
Now, the common factors can be found like this.
262:2x 131
804:2x 2x 3x 67
743:743
743:743
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 743 = 1486
Therefore, the value for common factors is 1486.
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 = 98961103106952/(1x1486)
LCM = 98961103106952/1486
LCM = 66595627932
Thus, we can understand that the LCM of 262,804,743,743,851 is 66595627932.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 262, 804, 743, 743, 851?
Answer: LCM of 262, 804, 743, 743, 851 is 66595627932.
2. How to calculate the LCM of 262, 804, 743, 743, 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 262, 804, 743, 743, 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}.