Find the LCM of 269, 722, 732, 178 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, 722, 732, 178. So, keep reading to learn more.
Given numbers are 269,722,732,178
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,722,732,178 is 6326457132.
Find LCM of 269,722,732,178 with Prime Factorization
2 | 269, 722, 732, 178 |
269, 361, 366, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 269 x 361 x 366 x 89 = 6326457132
Therefore, the lowest common multiple of 269,722,732,178 is 6326457132.
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 722 x 732 x 178 = 25305828528
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
722 : 1, 2, 19, 38, 361, 722
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
178 : 1, 2, 89, 178
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,722,732,178, is 1.
Now, the common factors can be found like this.
269:269
722:2x 19x 19
732:2x 2x 3x 61
178:2x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 25305828528/(1x4)
LCM = 25305828528/4
LCM = 6326457132
Thus, we can understand that the LCM of 269,722,732,178 is 6326457132.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 269, 722, 732, 178?
Answer: LCM of 269, 722, 732, 178 is 6326457132.
2. How to calculate the LCM of 269, 722, 732, 178?
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, 722, 732, 178.
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}.