LCM of 298, 317, 305, 532, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 298, 317, 305, 532, 420 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 298, 317, 305, 532, 420. So, keep reading to learn more.
Given numbers are 298,317,305,532,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,317,305,532,420 is 22992079740.
Find LCM of 298,317,305,532,420 with Prime Factorization
| 2 | 298, 317, 305, 532, 420 |
| 2 | 149, 317, 305, 266, 210 |
| 5 | 149, 317, 305, 133, 105 |
| 7 | 149, 317, 61, 133, 21 |
| 149, 317, 61, 19, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 149 x 317 x 61 x 19 x 3 = 22992079740
Therefore, the lowest common multiple of 298,317,305,532,420 is 22992079740.
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.
298 x 317 x 305 x 532 x 420 = 6437782327200
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.
298 : 1, 2, 149, 298
317 : 1, 317
305 : 1, 5, 61, 305
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,317,305,532,420, is 1.
Now, the common factors can be found like this.
298:2x 149
317:317
305:5x 61
532:2x 2x 7x 19
420:2x 2x 3x 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 5x 7 = 280
Therefore, the value for common factors is 280.
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 = 6437782327200/(1x280)
LCM = 6437782327200/280
LCM = 22992079740
Thus, we can understand that the LCM of 298,317,305,532,420 is 22992079740.
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FAQs on LCM of 298, 317, 305, 532, 420
1. What is the LCM of 298, 317, 305, 532, 420?
Answer: LCM of 298, 317, 305, 532, 420 is 22992079740.
2. How to calculate the LCM of 298, 317, 305, 532, 420?
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 298, 317, 305, 532, 420.
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}.