LCM of 904, 249, 319, 232
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 904, 249, 319, 232 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 904, 249, 319, 232. So, keep reading to learn more.
Given numbers are 904,249,319,232
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,249,319,232 is 71805624.
Find LCM of 904,249,319,232 with Prime Factorization
| 2 | 904, 249, 319, 232 |
| 2 | 452, 249, 319, 116 |
| 2 | 226, 249, 319, 58 |
| 29 | 113, 249, 319, 29 |
| 113, 249, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 29 x 113 x 249 x 11 x 1 = 71805624
Therefore, the lowest common multiple of 904,249,319,232 is 71805624.
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.
904 x 249 x 319 x 232 = 16658904768
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
249 : 1, 3, 83, 249
319 : 1, 11, 29, 319
232 : 1, 2, 4, 8, 29, 58, 116, 232
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,249,319,232, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
249:3x 83
319:11x 29
232:2x 2x 2x 29
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 29 = 232
Therefore, the value for common factors is 232.
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 = 16658904768/(1x232)
LCM = 16658904768/232
LCM = 71805624
Thus, we can understand that the LCM of 904,249,319,232 is 71805624.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 904, 249, 319, 232
1. What is the LCM of 904, 249, 319, 232?
Answer: LCM of 904, 249, 319, 232 is 71805624.
2. How to calculate the LCM of 904, 249, 319, 232?
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 904, 249, 319, 232.
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}.