LCM of 483, 411, 869, 316, 979
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 483, 411, 869, 316, 979 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 483, 411, 869, 316, 979. So, keep reading to learn more.
Given numbers are 483,411,869,316,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 483,411,869,316,979 is 20470925244.
Find LCM of 483,411,869,316,979 with Prime Factorization
| 3 | 483, 411, 869, 316, 979 |
| 11 | 161, 137, 869, 316, 979 |
| 79 | 161, 137, 79, 316, 89 |
| 161, 137, 1, 4, 89 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 79 x 161 x 137 x 1 x 4 x 89 = 20470925244
Therefore, the lowest common multiple of 483,411,869,316,979 is 20470925244.
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.
483 x 411 x 869 x 316 x 979 = 53367702111108
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.
483 : 1, 3, 7, 21, 23, 69, 161, 483
411 : 1, 3, 137, 411
869 : 1, 11, 79, 869
316 : 1, 2, 4, 79, 158, 316
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 483,411,869,316,979, is 1.
Now, the common factors can be found like this.
483:3x 7x 23
411:3x 137
869:11x 79
316:2x 2x 79
979:11x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 79 = 2607
Therefore, the value for common factors is 2607.
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 = 53367702111108/(1x2607)
LCM = 53367702111108/2607
LCM = 20470925244
Thus, we can understand that the LCM of 483,411,869,316,979 is 20470925244.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 483, 411, 869, 316, 979
1. What is the LCM of 483, 411, 869, 316, 979?
Answer: LCM of 483, 411, 869, 316, 979 is 20470925244.
2. How to calculate the LCM of 483, 411, 869, 316, 979?
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 483, 411, 869, 316, 979.
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}.