LCM of 874, 338, 161, 245, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 338, 161, 245, 462 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 874, 338, 161, 245, 462. So, keep reading to learn more.
Given numbers are 874,338,161,245,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,338,161,245,462 is 1194203010.
Find LCM of 874,338,161,245,462 with Prime Factorization
| 2 | 874, 338, 161, 245, 462 |
| 7 | 437, 169, 161, 245, 231 |
| 23 | 437, 169, 23, 35, 33 |
| 19, 169, 1, 35, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 19 x 169 x 1 x 35 x 33 = 1194203010
Therefore, the lowest common multiple of 874,338,161,245,462 is 1194203010.
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.
874 x 338 x 161 x 245 x 462 = 5383467169080
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
338 : 1, 2, 13, 26, 169, 338
161 : 1, 7, 23, 161
245 : 1, 5, 7, 35, 49, 245
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,338,161,245,462, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
338:2x 13x 13
161:7x 23
245:5x 7x 7
462:2x 3x 7x 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 2x 7x 7x 23 = 4508
Therefore, the value for common factors is 4508.
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 = 5383467169080/(1x4508)
LCM = 5383467169080/4508
LCM = 1194203010
Thus, we can understand that the LCM of 874,338,161,245,462 is 1194203010.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 874, 338, 161, 245, 462
1. What is the LCM of 874, 338, 161, 245, 462?
Answer: LCM of 874, 338, 161, 245, 462 is 1194203010.
2. How to calculate the LCM of 874, 338, 161, 245, 462?
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 874, 338, 161, 245, 462.
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}.