LCM of 249, 431, 279, 169
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 249, 431, 279, 169 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 249, 431, 279, 169. So, keep reading to learn more.
Given numbers are 249,431,279,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 249,431,279,169 is 1686732723.
Find LCM of 249,431,279,169 with Prime Factorization
| 3 | 249, 431, 279, 169 |
| 83, 431, 93, 169 |
Multiply the prime numbers at the bottom and the left side.
3 x 83 x 431 x 93 x 169 = 1686732723
Therefore, the lowest common multiple of 249,431,279,169 is 1686732723.
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.
249 x 431 x 279 x 169 = 5060198169
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.
249 : 1, 3, 83, 249
431 : 1, 431
279 : 1, 3, 9, 31, 93, 279
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,431,279,169, is 1.
Now, the common factors can be found like this.
249:3x 83
431:431
279:3x 3x 31
169:13x 13
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 = 5060198169/(1x3)
LCM = 5060198169/3
LCM = 1686732723
Thus, we can understand that the LCM of 249,431,279,169 is 1686732723.
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FAQs on LCM of 249, 431, 279, 169
1. What is the LCM of 249, 431, 279, 169?
Answer: LCM of 249, 431, 279, 169 is 1686732723.
2. How to calculate the LCM of 249, 431, 279, 169?
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 249, 431, 279, 169.
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}.