Find the LCM of 269, 536, 358, 605, 358 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, 536, 358, 605, 358. So, keep reading to learn more.
Given numbers are 269,536,358,605,358
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,536,358,605,358 is 15614406280.
Find LCM of 269,536,358,605,358 with Prime Factorization
2 | 269, 536, 358, 605, 358 |
179 | 269, 268, 179, 605, 179 |
269, 268, 1, 605, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 179 x 269 x 268 x 1 x 605 x 1 = 15614406280
Therefore, the lowest common multiple of 269,536,358,605,358 is 15614406280.
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 536 x 358 x 605 x 358 = 11179914896480
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
536 : 1, 2, 4, 8, 67, 134, 268, 536
358 : 1, 2, 179, 358
605 : 1, 5, 11, 55, 121, 605
358 : 1, 2, 179, 358
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,536,358,605,358, is 1.
Now, the common factors can be found like this.
269:269
536:2x 2x 2x 67
358:2x 179
605:5x 11x 11
358:2x 179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 179 = 716
Therefore, the value for common factors is 716.
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 = 11179914896480/(1x716)
LCM = 11179914896480/716
LCM = 15614406280
Thus, we can understand that the LCM of 269,536,358,605,358 is 15614406280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 269, 536, 358, 605, 358?
Answer: LCM of 269, 536, 358, 605, 358 is 15614406280.
2. How to calculate the LCM of 269, 536, 358, 605, 358?
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, 536, 358, 605, 358.
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}.