LCM of 694, 892, 760, 705, 821
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 892, 760, 705, 821 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 694, 892, 760, 705, 821. So, keep reading to learn more.
Given numbers are 694,892,760,705,821
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,892,760,705,821 is 6807853475160.
Find LCM of 694,892,760,705,821 with Prime Factorization
| 2 | 694, 892, 760, 705, 821 |
| 2 | 347, 446, 380, 705, 821 |
| 5 | 347, 223, 190, 705, 821 |
| 347, 223, 38, 141, 821 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 347 x 223 x 38 x 141 x 821 = 6807853475160
Therefore, the lowest common multiple of 694,892,760,705,821 is 6807853475160.
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.
694 x 892 x 760 x 705 x 821 = 272314139006400
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.
694 : 1, 2, 347, 694
892 : 1, 2, 4, 223, 446, 892
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
705 : 1, 3, 5, 15, 47, 141, 235, 705
821 : 1, 821
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,892,760,705,821, is 1.
Now, the common factors can be found like this.
694:2x 347
892:2x 2x 223
760:2x 2x 2x 5x 19
705:3x 5x 47
821:821
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 5 = 40
Therefore, the value for common factors is 40.
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 = 272314139006400/(1x40)
LCM = 272314139006400/40
LCM = 6807853475160
Thus, we can understand that the LCM of 694,892,760,705,821 is 6807853475160.
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FAQs on LCM of 694, 892, 760, 705, 821
1. What is the LCM of 694, 892, 760, 705, 821?
Answer: LCM of 694, 892, 760, 705, 821 is 6807853475160.
2. How to calculate the LCM of 694, 892, 760, 705, 821?
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 694, 892, 760, 705, 821.
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}.