LCM of 587, 378, 828, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 587, 378, 828, 920 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 587, 378, 828, 920. So, keep reading to learn more.
Given numbers are 587,378,828,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 587,378,828,920 is 102067560.
Find LCM of 587,378,828,920 with Prime Factorization
| 2 | 587, 378, 828, 920 |
| 2 | 587, 189, 414, 460 |
| 3 | 587, 189, 207, 230 |
| 3 | 587, 63, 69, 230 |
| 23 | 587, 21, 23, 230 |
| 587, 21, 1, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 23 x 587 x 21 x 1 x 10 = 102067560
Therefore, the lowest common multiple of 587,378,828,920 is 102067560.
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.
587 x 378 x 828 x 920 = 169023879360
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.
587 : 1, 587
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,378,828,920, is 1.
Now, the common factors can be found like this.
587:587
378:2x 3x 3x 3x 7
828:2x 2x 3x 3x 23
920:2x 2x 2x 5x 23
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 3x 3x 23 = 1656
Therefore, the value for common factors is 1656.
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 = 169023879360/(1x1656)
LCM = 169023879360/1656
LCM = 102067560
Thus, we can understand that the LCM of 587,378,828,920 is 102067560.
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FAQs on LCM of 587, 378, 828, 920
1. What is the LCM of 587, 378, 828, 920?
Answer: LCM of 587, 378, 828, 920 is 102067560.
2. How to calculate the LCM of 587, 378, 828, 920?
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 587, 378, 828, 920.
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}.