Find the LCM of 777, 993, 849, 153, 456 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 777, 993, 849, 153, 456. So, keep reading to learn more.
Given numbers are 777,993,849,153,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 777,993,849,153,456 is 564220955592.
Find LCM of 777,993,849,153,456 with Prime Factorization
3 | 777, 993, 849, 153, 456 |
259, 331, 283, 51, 152 |
Multiply the prime numbers at the bottom and the left side.
3 x 259 x 331 x 283 x 51 x 152 = 564220955592
Therefore, the lowest common multiple of 777,993,849,153,456 is 564220955592.
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.
777 x 993 x 849 x 153 x 456 = 45701897402952
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.
777 : 1, 3, 7, 21, 37, 111, 259, 777
993 : 1, 3, 331, 993
849 : 1, 3, 283, 849
153 : 1, 3, 9, 17, 51, 153
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,993,849,153,456, is 3.
Now, the common factors can be found like this.
777:3x 7x 37
993:3x 331
849:3x 283
153:3x 3x 17
456:2x 2x 2x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
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 = 45701897402952/(3x27)
LCM = 45701897402952/81
LCM = 564220955592
Thus, we can understand that the LCM of 777,993,849,153,456 is 564220955592.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 777, 993, 849, 153, 456?
Answer: LCM of 777, 993, 849, 153, 456 is 564220955592.
2. How to calculate the LCM of 777, 993, 849, 153, 456?
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 777, 993, 849, 153, 456.
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}.