Find the LCM of 902, 266, 712, 627, 764 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 902, 266, 712, 627, 764. So, keep reading to learn more.
Given numbers are 902,266,712,627,764
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,266,712,627,764 is 24471624408.
Find LCM of 902,266,712,627,764 with Prime Factorization
2 | 902, 266, 712, 627, 764 |
2 | 451, 133, 356, 627, 382 |
11 | 451, 133, 178, 627, 191 |
19 | 41, 133, 178, 57, 191 |
41, 7, 178, 3, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 41 x 7 x 178 x 3 x 191 = 24471624408
Therefore, the lowest common multiple of 902,266,712,627,764 is 24471624408.
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.
902 x 266 x 712 x 627 x 764 = 81833112020352
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
266 : 1, 2, 7, 14, 19, 38, 133, 266
712 : 1, 2, 4, 8, 89, 178, 356, 712
627 : 1, 3, 11, 19, 33, 57, 209, 627
764 : 1, 2, 4, 191, 382, 764
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,266,712,627,764, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
266:2x 7x 19
712:2x 2x 2x 89
627:3x 11x 19
764:2x 2x 191
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 11x 19 = 3344
Therefore, the value for common factors is 3344.
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 = 81833112020352/(1x3344)
LCM = 81833112020352/3344
LCM = 24471624408
Thus, we can understand that the LCM of 902,266,712,627,764 is 24471624408.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 902, 266, 712, 627, 764?
Answer: LCM of 902, 266, 712, 627, 764 is 24471624408.
2. How to calculate the LCM of 902, 266, 712, 627, 764?
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 902, 266, 712, 627, 764.
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}.