LCM of 236, 904, 731, 565
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 236, 904, 731, 565 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 236, 904, 731, 565. So, keep reading to learn more.
Given numbers are 236,904,731,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,904,731,565 is 194943080.
Find LCM of 236,904,731,565 with Prime Factorization
| 2 | 236, 904, 731, 565 |
| 2 | 118, 452, 731, 565 |
| 113 | 59, 226, 731, 565 |
| 59, 2, 731, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 113 x 59 x 2 x 731 x 5 = 194943080
Therefore, the lowest common multiple of 236,904,731,565 is 194943080.
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.
236 x 904 x 731 x 565 = 88114272160
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.
236 : 1, 2, 4, 59, 118, 236
904 : 1, 2, 4, 8, 113, 226, 452, 904
731 : 1, 17, 43, 731
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,904,731,565, is 1.
Now, the common factors can be found like this.
236:2x 2x 59
904:2x 2x 2x 113
731:17x 43
565:5x 113
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 113 = 452
Therefore, the value for common factors is 452.
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 = 88114272160/(1x452)
LCM = 88114272160/452
LCM = 194943080
Thus, we can understand that the LCM of 236,904,731,565 is 194943080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 236, 904, 731, 565
1. What is the LCM of 236, 904, 731, 565?
Answer: LCM of 236, 904, 731, 565 is 194943080.
2. How to calculate the LCM of 236, 904, 731, 565?
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 236, 904, 731, 565.
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}.