LCM of 605, 374, 528, 149, 280
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 374, 528, 149, 280 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 605, 374, 528, 149, 280. So, keep reading to learn more.
Given numbers are 605,374,528,149,280
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,374,528,149,280 is 514908240.
Find LCM of 605,374,528,149,280 with Prime Factorization
| 2 | 605, 374, 528, 149, 280 |
| 2 | 605, 187, 264, 149, 140 |
| 2 | 605, 187, 132, 149, 70 |
| 5 | 605, 187, 66, 149, 35 |
| 11 | 121, 187, 66, 149, 7 |
| 11, 17, 6, 149, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 11 x 17 x 6 x 149 x 7 = 514908240
Therefore, the lowest common multiple of 605,374,528,149,280 is 514908240.
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.
605 x 374 x 528 x 149 x 280 = 4984311763200
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.
605 : 1, 5, 11, 55, 121, 605
374 : 1, 2, 11, 17, 22, 34, 187, 374
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
149 : 1, 149
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,374,528,149,280, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
374:2x 11x 17
528:2x 2x 2x 2x 3x 11
149:149
280:2x 2x 2x 5x 7
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 5x 11x 11 = 9680
Therefore, the value for common factors is 9680.
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 = 4984311763200/(1x9680)
LCM = 4984311763200/9680
LCM = 514908240
Thus, we can understand that the LCM of 605,374,528,149,280 is 514908240.
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FAQs on LCM of 605, 374, 528, 149, 280
1. What is the LCM of 605, 374, 528, 149, 280?
Answer: LCM of 605, 374, 528, 149, 280 is 514908240.
2. How to calculate the LCM of 605, 374, 528, 149, 280?
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 605, 374, 528, 149, 280.
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}.