LCM of 169, 308, 578, 269, 825
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 308, 578, 269, 825 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 169, 308, 578, 269, 825. So, keep reading to learn more.
Given numbers are 169,308,578,269,825
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,308,578,269,825 is 303493089900.
Find LCM of 169,308,578,269,825 with Prime Factorization
| 2 | 169, 308, 578, 269, 825 |
| 11 | 169, 154, 289, 269, 825 |
| 169, 14, 289, 269, 75 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 169 x 14 x 289 x 269 x 75 = 303493089900
Therefore, the lowest common multiple of 169,308,578,269,825 is 303493089900.
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.
169 x 308 x 578 x 269 x 825 = 6676847977800
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.
169 : 1, 13, 169
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
578 : 1, 2, 17, 34, 289, 578
269 : 1, 269
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,308,578,269,825, is 1.
Now, the common factors can be found like this.
169:13x 13
308:2x 2x 7x 11
578:2x 17x 17
269:269
825:3x 5x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 6676847977800/(1x22)
LCM = 6676847977800/22
LCM = 303493089900
Thus, we can understand that the LCM of 169,308,578,269,825 is 303493089900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 169, 308, 578, 269, 825
1. What is the LCM of 169, 308, 578, 269, 825?
Answer: LCM of 169, 308, 578, 269, 825 is 303493089900.
2. How to calculate the LCM of 169, 308, 578, 269, 825?
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 169, 308, 578, 269, 825.
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}.