Find the LCM of 612, 543, 362, 774, 313 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 612, 543, 362, 774, 313. So, keep reading to learn more.
Given numbers are 612,543,362,774,313
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,543,362,774,313 is 1490880348.
Find LCM of 612,543,362,774,313 with Prime Factorization
2 | 612, 543, 362, 774, 313 |
3 | 306, 543, 181, 387, 313 |
3 | 102, 181, 181, 129, 313 |
181 | 34, 181, 181, 43, 313 |
34, 1, 1, 43, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 181 x 34 x 1 x 1 x 43 x 313 = 1490880348
Therefore, the lowest common multiple of 612,543,362,774,313 is 1490880348.
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.
612 x 543 x 362 x 774 x 313 = 29143729042704
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
543 : 1, 3, 181, 543
362 : 1, 2, 181, 362
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
313 : 1, 313
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,543,362,774,313, is 1.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
543:3x 181
362:2x 181
774:2x 3x 3x 43
313:313
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 3x 3x 3x 181 = 19548
Therefore, the value for common factors is 19548.
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 = 29143729042704/(1x19548)
LCM = 29143729042704/19548
LCM = 1490880348
Thus, we can understand that the LCM of 612,543,362,774,313 is 1490880348.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 612, 543, 362, 774, 313?
Answer: LCM of 612, 543, 362, 774, 313 is 1490880348.
2. How to calculate the LCM of 612, 543, 362, 774, 313?
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 612, 543, 362, 774, 313.
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}.