LCM of 821, 670, 916, 425, 825
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 821, 670, 916, 425, 825 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 821, 670, 916, 425, 825. So, keep reading to learn more.
Given numbers are 821,670,916,425,825
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,670,916,425,825 is 706669428300.
Find LCM of 821,670,916,425,825 with Prime Factorization
| 2 | 821, 670, 916, 425, 825 |
| 5 | 821, 335, 458, 425, 825 |
| 5 | 821, 67, 458, 85, 165 |
| 821, 67, 458, 17, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 821 x 67 x 458 x 17 x 33 = 706669428300
Therefore, the lowest common multiple of 821,670,916,425,825 is 706669428300.
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.
821 x 670 x 916 x 425 x 825 = 176667357075000
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.
821 : 1, 821
670 : 1, 2, 5, 10, 67, 134, 335, 670
916 : 1, 2, 4, 229, 458, 916
425 : 1, 5, 17, 25, 85, 425
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,670,916,425,825, is 1.
Now, the common factors can be found like this.
821:821
670:2x 5x 67
916:2x 2x 229
425:5x 5x 17
825:3x 5x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 5 = 250
Therefore, the value for common factors is 250.
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 = 176667357075000/(1x250)
LCM = 176667357075000/250
LCM = 706669428300
Thus, we can understand that the LCM of 821,670,916,425,825 is 706669428300.
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FAQs on LCM of 821, 670, 916, 425, 825
1. What is the LCM of 821, 670, 916, 425, 825?
Answer: LCM of 821, 670, 916, 425, 825 is 706669428300.
2. How to calculate the LCM of 821, 670, 916, 425, 825?
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 821, 670, 916, 425, 825.
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}.