LCM of 821, 245, 295, 973
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 821, 245, 295, 973 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, 245, 295, 973. So, keep reading to learn more.
Given numbers are 821,245,295,973
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,245,295,973 is 1649590145.
Find LCM of 821,245,295,973 with Prime Factorization
| 5 | 821, 245, 295, 973 |
| 7 | 821, 49, 59, 973 |
| 821, 7, 59, 139 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 821 x 7 x 59 x 139 = 1649590145
Therefore, the lowest common multiple of 821,245,295,973 is 1649590145.
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 245 x 295 x 973 = 57735655075
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
245 : 1, 5, 7, 35, 49, 245
295 : 1, 5, 59, 295
973 : 1, 7, 139, 973
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,245,295,973, is 1.
Now, the common factors can be found like this.
821:821
245:5x 7x 7
295:5x 59
973:7x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7 = 35
Therefore, the value for common factors is 35.
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 = 57735655075/(1x35)
LCM = 57735655075/35
LCM = 1649590145
Thus, we can understand that the LCM of 821,245,295,973 is 1649590145.
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FAQs on LCM of 821, 245, 295, 973
1. What is the LCM of 821, 245, 295, 973?
Answer: LCM of 821, 245, 295, 973 is 1649590145.
2. How to calculate the LCM of 821, 245, 295, 973?
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, 245, 295, 973.
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}.