LCM of 173, 869, 462, 318, 862
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 173, 869, 462, 318, 862 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 173, 869, 462, 318, 862. So, keep reading to learn more.
Given numbers are 173,869,462,318,862
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 173,869,462,318,862 is 144234219822.
Find LCM of 173,869,462,318,862 with Prime Factorization
| 2 | 173, 869, 462, 318, 862 |
| 3 | 173, 869, 231, 159, 431 |
| 11 | 173, 869, 77, 53, 431 |
| 173, 79, 7, 53, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 173 x 79 x 7 x 53 x 431 = 144234219822
Therefore, the lowest common multiple of 173,869,462,318,862 is 144234219822.
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.
173 x 869 x 462 x 318 x 862 = 19038917016504
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.
173 : 1, 173
869 : 1, 11, 79, 869
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
318 : 1, 2, 3, 6, 53, 106, 159, 318
862 : 1, 2, 431, 862
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,869,462,318,862, is 1.
Now, the common factors can be found like this.
173:173
869:11x 79
462:2x 3x 7x 11
318:2x 3x 53
862:2x 431
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 19038917016504/(1x132)
LCM = 19038917016504/132
LCM = 144234219822
Thus, we can understand that the LCM of 173,869,462,318,862 is 144234219822.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 173, 869, 462, 318, 862
1. What is the LCM of 173, 869, 462, 318, 862?
Answer: LCM of 173, 869, 462, 318, 862 is 144234219822.
2. How to calculate the LCM of 173, 869, 462, 318, 862?
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 173, 869, 462, 318, 862.
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}.