LCM of 504, 928, 870, 751, 406
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 504, 928, 870, 751, 406 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 504, 928, 870, 751, 406. So, keep reading to learn more.
Given numbers are 504,928,870,751,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 504,928,870,751,406 is 219532320.
Find LCM of 504,928,870,751,406 with Prime Factorization
| 2 | 504, 928, 870, 751, 406 |
| 2 | 252, 464, 435, 751, 203 |
| 2 | 126, 232, 435, 751, 203 |
| 3 | 63, 116, 435, 751, 203 |
| 7 | 21, 116, 145, 751, 203 |
| 29 | 3, 116, 145, 751, 29 |
| 3, 4, 5, 751, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 29 x 3 x 4 x 5 x 751 x 1 = 219532320
Therefore, the lowest common multiple of 504,928,870,751,406 is 219532320.
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.
504 x 928 x 870 x 751 x 406 = 124069129712640
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.
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
751 : 1, 751
406 : 1, 2, 7, 14, 29, 58, 203, 406
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,928,870,751,406, is 1.
Now, the common factors can be found like this.
504:2x 2x 2x 3x 3x 7
928:2x 2x 2x 2x 2x 29
870:2x 3x 5x 29
751:751
406:2x 7x 29
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 2x 3x 7x 29x 29 = 565152
Therefore, the value for common factors is 565152.
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 = 124069129712640/(1x565152)
LCM = 124069129712640/565152
LCM = 219532320
Thus, we can understand that the LCM of 504,928,870,751,406 is 219532320.
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FAQs on LCM of 504, 928, 870, 751, 406
1. What is the LCM of 504, 928, 870, 751, 406?
Answer: LCM of 504, 928, 870, 751, 406 is 219532320.
2. How to calculate the LCM of 504, 928, 870, 751, 406?
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 504, 928, 870, 751, 406.
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}.