LCM of 279, 678, 310, 576, 525
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 279, 678, 310, 576, 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 279, 678, 310, 576, 525. So, keep reading to learn more.
Given numbers are 279,678,310,576,525
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,678,310,576,525 is 353102400.
Find LCM of 279,678,310,576,525 with Prime Factorization
| 2 | 279, 678, 310, 576, 525 |
| 3 | 279, 339, 155, 288, 525 |
| 3 | 93, 113, 155, 96, 175 |
| 5 | 31, 113, 155, 32, 175 |
| 31 | 31, 113, 31, 32, 35 |
| 1, 113, 1, 32, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 31 x 1 x 113 x 1 x 32 x 35 = 353102400
Therefore, the lowest common multiple of 279,678,310,576,525 is 353102400.
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.
279 x 678 x 310 x 576 x 525 = 17732802528000
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.
279 : 1, 3, 9, 31, 93, 279
678 : 1, 2, 3, 6, 113, 226, 339, 678
310 : 1, 2, 5, 10, 31, 62, 155, 310
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
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 279,678,310,576,525, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
678:2x 3x 113
310:2x 5x 31
576:2x 2x 2x 2x 2x 2x 3x 3
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 3x 3x 3x 3x 5x 31 = 50220
Therefore, the value for common factors is 50220.
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 = 17732802528000/(1x50220)
LCM = 17732802528000/50220
LCM = 353102400
Thus, we can understand that the LCM of 279,678,310,576,525 is 353102400.
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FAQs on LCM of 279, 678, 310, 576, 525
1. What is the LCM of 279, 678, 310, 576, 525?
Answer: LCM of 279, 678, 310, 576, 525 is 353102400.
2. How to calculate the LCM of 279, 678, 310, 576, 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 279, 678, 310, 576, 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}.