LCM of 939, 874, 633, 361, 302
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 939, 874, 633, 361, 302 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 939, 874, 633, 361, 302. So, keep reading to learn more.
Given numbers are 939,874,633,361,302
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,874,633,361,302 is 496809656274.
Find LCM of 939,874,633,361,302 with Prime Factorization
| 2 | 939, 874, 633, 361, 302 |
| 3 | 939, 437, 633, 361, 151 |
| 19 | 313, 437, 211, 361, 151 |
| 313, 23, 211, 19, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 313 x 23 x 211 x 19 x 151 = 496809656274
Therefore, the lowest common multiple of 939,874,633,361,302 is 496809656274.
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.
939 x 874 x 633 x 361 x 302 = 56636300815236
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.
939 : 1, 3, 313, 939
874 : 1, 2, 19, 23, 38, 46, 437, 874
633 : 1, 3, 211, 633
361 : 1, 19, 361
302 : 1, 2, 151, 302
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,874,633,361,302, is 1.
Now, the common factors can be found like this.
939:3x 313
874:2x 19x 23
633:3x 211
361:19x 19
302:2x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 19 = 114
Therefore, the value for common factors is 114.
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 = 56636300815236/(1x114)
LCM = 56636300815236/114
LCM = 496809656274
Thus, we can understand that the LCM of 939,874,633,361,302 is 496809656274.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 939, 874, 633, 361, 302
1. What is the LCM of 939, 874, 633, 361, 302?
Answer: LCM of 939, 874, 633, 361, 302 is 496809656274.
2. How to calculate the LCM of 939, 874, 633, 361, 302?
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 939, 874, 633, 361, 302.
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}.