LCM of 851, 400, 322, 769, 938
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 851, 400, 322, 769, 938 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 851, 400, 322, 769, 938. So, keep reading to learn more.
Given numbers are 851,400,322,769,938
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,400,322,769,938 is 122769004400.
Find LCM of 851,400,322,769,938 with Prime Factorization
| 2 | 851, 400, 322, 769, 938 |
| 7 | 851, 200, 161, 769, 469 |
| 23 | 851, 200, 23, 769, 67 |
| 37, 200, 1, 769, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 37 x 200 x 1 x 769 x 67 = 122769004400
Therefore, the lowest common multiple of 851,400,322,769,938 is 122769004400.
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.
851 x 400 x 322 x 769 x 938 = 79063238833600
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.
851 : 1, 23, 37, 851
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
322 : 1, 2, 7, 14, 23, 46, 161, 322
769 : 1, 769
938 : 1, 2, 7, 14, 67, 134, 469, 938
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,400,322,769,938, is 1.
Now, the common factors can be found like this.
851:23x 37
400:2x 2x 2x 2x 5x 5
322:2x 7x 23
769:769
938:2x 7x 67
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 7x 23 = 644
Therefore, the value for common factors is 644.
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 = 79063238833600/(1x644)
LCM = 79063238833600/644
LCM = 122769004400
Thus, we can understand that the LCM of 851,400,322,769,938 is 122769004400.
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FAQs on LCM of 851, 400, 322, 769, 938
1. What is the LCM of 851, 400, 322, 769, 938?
Answer: LCM of 851, 400, 322, 769, 938 is 122769004400.
2. How to calculate the LCM of 851, 400, 322, 769, 938?
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 851, 400, 322, 769, 938.
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}.