LCM of 479, 646, 184, 859, 136
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 479, 646, 184, 859, 136 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 479, 646, 184, 859, 136. So, keep reading to learn more.
Given numbers are 479,646,184,859,136
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,646,184,859,136 is 24453950152.
Find LCM of 479,646,184,859,136 with Prime Factorization
| 2 | 479, 646, 184, 859, 136 |
| 2 | 479, 323, 92, 859, 68 |
| 2 | 479, 323, 46, 859, 34 |
| 17 | 479, 323, 23, 859, 17 |
| 479, 19, 23, 859, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 479 x 19 x 23 x 859 x 1 = 24453950152
Therefore, the lowest common multiple of 479,646,184,859,136 is 24453950152.
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.
479 x 646 x 184 x 859 x 136 = 6651474441344
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.
479 : 1, 479
646 : 1, 2, 17, 19, 34, 38, 323, 646
184 : 1, 2, 4, 8, 23, 46, 92, 184
859 : 1, 859
136 : 1, 2, 4, 8, 17, 34, 68, 136
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,646,184,859,136, is 1.
Now, the common factors can be found like this.
479:479
646:2x 17x 19
184:2x 2x 2x 23
859:859
136:2x 2x 2x 17
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 17 = 272
Therefore, the value for common factors is 272.
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 = 6651474441344/(1x272)
LCM = 6651474441344/272
LCM = 24453950152
Thus, we can understand that the LCM of 479,646,184,859,136 is 24453950152.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 479, 646, 184, 859, 136
1. What is the LCM of 479, 646, 184, 859, 136?
Answer: LCM of 479, 646, 184, 859, 136 is 24453950152.
2. How to calculate the LCM of 479, 646, 184, 859, 136?
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 479, 646, 184, 859, 136.
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}.