LCM of 754, 612, 718, 408, 554
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 754, 612, 718, 408, 554 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 754, 612, 718, 408, 554. So, keep reading to learn more.
Given numbers are 754,612,718,408,554
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,612,718,408,554 is 45887773464.
Find LCM of 754,612,718,408,554 with Prime Factorization
| 2 | 754, 612, 718, 408, 554 |
| 2 | 377, 306, 359, 204, 277 |
| 3 | 377, 153, 359, 102, 277 |
| 17 | 377, 51, 359, 34, 277 |
| 377, 3, 359, 2, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 377 x 3 x 359 x 2 x 277 = 45887773464
Therefore, the lowest common multiple of 754,612,718,408,554 is 45887773464.
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.
754 x 612 x 718 x 408 x 554 = 74888846293248
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.
754 : 1, 2, 13, 26, 29, 58, 377, 754
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
718 : 1, 2, 359, 718
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
554 : 1, 2, 277, 554
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,612,718,408,554, is 2.
Now, the common factors can be found like this.
754:2x 13x 29
612:2x 2x 3x 3x 17
718:2x 359
408:2x 2x 2x 3x 17
554:2x 277
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 3x 17 = 816
Therefore, the value for common factors is 816.
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 = 74888846293248/(2x816)
LCM = 74888846293248/1632
LCM = 45887773464
Thus, we can understand that the LCM of 754,612,718,408,554 is 45887773464.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 754, 612, 718, 408, 554
1. What is the LCM of 754, 612, 718, 408, 554?
Answer: LCM of 754, 612, 718, 408, 554 is 45887773464.
2. How to calculate the LCM of 754, 612, 718, 408, 554?
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 754, 612, 718, 408, 554.
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}.