LCM of 420, 260, 302, 394, 525
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 420, 260, 302, 394, 525 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 420, 260, 302, 394, 525. So, keep reading to learn more.
Given numbers are 420,260,302,394,525
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,260,302,394,525 is 812093100.
Find LCM of 420,260,302,394,525 with Prime Factorization
| 2 | 420, 260, 302, 394, 525 |
| 2 | 210, 130, 151, 197, 525 |
| 3 | 105, 65, 151, 197, 525 |
| 5 | 35, 65, 151, 197, 175 |
| 7 | 7, 13, 151, 197, 35 |
| 1, 13, 151, 197, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 1 x 13 x 151 x 197 x 5 = 812093100
Therefore, the lowest common multiple of 420,260,302,394,525 is 812093100.
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.
420 x 260 x 302 x 394 x 525 = 6821582040000
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.
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
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
302 : 1, 2, 151, 302
394 : 1, 2, 197, 394
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,260,302,394,525, is 1.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
260:2x 2x 5x 13
302:2x 151
394:2x 197
525:3x 5x 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 3x 5x 5x 7 = 8400
Therefore, the value for common factors is 8400.
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 = 6821582040000/(1x8400)
LCM = 6821582040000/8400
LCM = 812093100
Thus, we can understand that the LCM of 420,260,302,394,525 is 812093100.
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FAQs on LCM of 420, 260, 302, 394, 525
1. What is the LCM of 420, 260, 302, 394, 525?
Answer: LCM of 420, 260, 302, 394, 525 is 812093100.
2. How to calculate the LCM of 420, 260, 302, 394, 525?
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 420, 260, 302, 394, 525.
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}.