Find the LCM of 314, 554, 731, 688, 465 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 314, 554, 731, 688, 465. So, keep reading to learn more.
Given numbers are 314,554,731,688,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,554,731,688,465 is 236521014960.
Find LCM of 314,554,731,688,465 with Prime Factorization
2 | 314, 554, 731, 688, 465 |
43 | 157, 277, 731, 344, 465 |
157, 277, 17, 8, 465 |
Multiply the prime numbers at the bottom and the left side.
2 x 43 x 157 x 277 x 17 x 8 x 465 = 236521014960
Therefore, the lowest common multiple of 314,554,731,688,465 is 236521014960.
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.
314 x 554 x 731 x 688 x 465 = 40681614573120
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.
314 : 1, 2, 157, 314
554 : 1, 2, 277, 554
731 : 1, 17, 43, 731
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,554,731,688,465, is 1.
Now, the common factors can be found like this.
314:2x 157
554:2x 277
731:17x 43
688:2x 2x 2x 2x 43
465:3x 5x 31
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 = 40681614573120/(1x172)
LCM = 40681614573120/172
LCM = 236521014960
Thus, we can understand that the LCM of 314,554,731,688,465 is 236521014960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 314, 554, 731, 688, 465?
Answer: LCM of 314, 554, 731, 688, 465 is 236521014960.
2. How to calculate the LCM of 314, 554, 731, 688, 465?
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 314, 554, 731, 688, 465.
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}.