Find the LCM of 269, 807, 302, 353 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, 807, 302, 353. So, keep reading to learn more.
Given numbers are 269,807,302,353
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,807,302,353 is 86031042.
Find LCM of 269,807,302,353 with Prime Factorization
269 | 269, 807, 302, 353 |
1, 3, 302, 353 |
Multiply the prime numbers at the bottom and the left side.
269 x 1 x 3 x 302 x 353 = 86031042
Therefore, the lowest common multiple of 269,807,302,353 is 86031042.
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 807 x 302 x 353 = 23142350298
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
807 : 1, 3, 269, 807
302 : 1, 2, 151, 302
353 : 1, 353
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,807,302,353, is 1.
Now, the common factors can be found like this.
269:269
807:3x 269
302:2x 151
353:353
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
269 = 269
Therefore, the value for common factors is 269.
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 = 23142350298/(1x269)
LCM = 23142350298/269
LCM = 86031042
Thus, we can understand that the LCM of 269,807,302,353 is 86031042.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 269, 807, 302, 353?
Answer: LCM of 269, 807, 302, 353 is 86031042.
2. How to calculate the LCM of 269, 807, 302, 353?
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, 807, 302, 353.
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}.