LCM of 269, 847, 975, 242
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 847, 975, 242 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 269, 847, 975, 242. So, keep reading to learn more.
Given numbers are 269,847,975,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,847,975,242 is 444293850.
Find LCM of 269,847,975,242 with Prime Factorization
| 11 | 269, 847, 975, 242 |
| 11 | 269, 77, 975, 22 |
| 269, 7, 975, 2 |
Multiply the prime numbers at the bottom and the left side.
11 x 11 x 269 x 7 x 975 x 2 = 444293850
Therefore, the lowest common multiple of 269,847,975,242 is 444293850.
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.
269 x 847 x 975 x 242 = 53759555850
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.
269 : 1, 269
847 : 1, 7, 11, 77, 121, 847
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,847,975,242, is 1.
Now, the common factors can be found like this.
269:269
847:7x 11x 11
975:3x 5x 5x 13
242:2x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 53759555850/(1x121)
LCM = 53759555850/121
LCM = 444293850
Thus, we can understand that the LCM of 269,847,975,242 is 444293850.
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FAQs on LCM of 269, 847, 975, 242
1. What is the LCM of 269, 847, 975, 242?
Answer: LCM of 269, 847, 975, 242 is 444293850.
2. How to calculate the LCM of 269, 847, 975, 242?
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 269, 847, 975, 242.
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}.