LCM of 162, 753, 817, 341, 269
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 162, 753, 817, 341, 269 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 162, 753, 817, 341, 269. So, keep reading to learn more.
Given numbers are 162,753,817,341,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 162,753,817,341,269 is 3047315716566.
Find LCM of 162,753,817,341,269 with Prime Factorization
| 3 | 162, 753, 817, 341, 269 |
| 54, 251, 817, 341, 269 |
Multiply the prime numbers at the bottom and the left side.
3 x 54 x 251 x 817 x 341 x 269 = 3047315716566
Therefore, the lowest common multiple of 162,753,817,341,269 is 3047315716566.
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.
162 x 753 x 817 x 341 x 269 = 9141947149698
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.
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
753 : 1, 3, 251, 753
817 : 1, 19, 43, 817
341 : 1, 11, 31, 341
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,753,817,341,269, is 1.
Now, the common factors can be found like this.
162:2x 3x 3x 3x 3
753:3x 251
817:19x 43
341:11x 31
269:269
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 9141947149698/(1x3)
LCM = 9141947149698/3
LCM = 3047315716566
Thus, we can understand that the LCM of 162,753,817,341,269 is 3047315716566.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 162, 753, 817, 341, 269
1. What is the LCM of 162, 753, 817, 341, 269?
Answer: LCM of 162, 753, 817, 341, 269 is 3047315716566.
2. How to calculate the LCM of 162, 753, 817, 341, 269?
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 162, 753, 817, 341, 269.
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}.