LCM of 184, 716, 565, 988, 115
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 184, 716, 565, 988, 115 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 184, 716, 565, 988, 115. So, keep reading to learn more.
Given numbers are 184,716,565,988,115
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 184,716,565,988,115 is 4596383480.
Find LCM of 184,716,565,988,115 with Prime Factorization
| 2 | 184, 716, 565, 988, 115 |
| 2 | 92, 358, 565, 494, 115 |
| 5 | 46, 179, 565, 247, 115 |
| 23 | 46, 179, 113, 247, 23 |
| 2, 179, 113, 247, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 2 x 179 x 113 x 247 x 1 = 4596383480
Therefore, the lowest common multiple of 184,716,565,988,115 is 4596383480.
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.
184 x 716 x 565 x 988 x 115 = 8457345603200
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.
184 : 1, 2, 4, 8, 23, 46, 92, 184
716 : 1, 2, 4, 179, 358, 716
565 : 1, 5, 113, 565
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
115 : 1, 5, 23, 115
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,716,565,988,115, is 1.
Now, the common factors can be found like this.
184:2x 2x 2x 23
716:2x 2x 179
565:5x 113
988:2x 2x 13x 19
115:5x 23
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 2x 5x 23 = 1840
Therefore, the value for common factors is 1840.
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 = 8457345603200/(1x1840)
LCM = 8457345603200/1840
LCM = 4596383480
Thus, we can understand that the LCM of 184,716,565,988,115 is 4596383480.
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FAQs on LCM of 184, 716, 565, 988, 115
1. What is the LCM of 184, 716, 565, 988, 115?
Answer: LCM of 184, 716, 565, 988, 115 is 4596383480.
2. How to calculate the LCM of 184, 716, 565, 988, 115?
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 184, 716, 565, 988, 115.
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}.