Find the LCM of 562, 360, 136, 746, 198 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 562, 360, 136, 746, 198. So, keep reading to learn more.
Given numbers are 562,360,136,746,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 562,360,136,746,198 is 7056011160.
Find LCM of 562,360,136,746,198 with Prime Factorization
2 | 562, 360, 136, 746, 198 |
2 | 281, 180, 68, 373, 99 |
2 | 281, 90, 34, 373, 99 |
3 | 281, 45, 17, 373, 99 |
3 | 281, 15, 17, 373, 33 |
281, 5, 17, 373, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 281 x 5 x 17 x 373 x 11 = 7056011160
Therefore, the lowest common multiple of 562,360,136,746,198 is 7056011160.
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.
562 x 360 x 136 x 746 x 198 = 4064262428160
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.
562 : 1, 2, 281, 562
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
136 : 1, 2, 4, 8, 17, 34, 68, 136
746 : 1, 2, 373, 746
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,360,136,746,198, is 2.
Now, the common factors can be found like this.
562:2x 281
360:2x 2x 2x 3x 3x 5
136:2x 2x 2x 17
746:2x 373
198:2x 3x 3x 11
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 2x 2x 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 4064262428160/(2x288)
LCM = 4064262428160/576
LCM = 7056011160
Thus, we can understand that the LCM of 562,360,136,746,198 is 7056011160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 562, 360, 136, 746, 198?
Answer: LCM of 562, 360, 136, 746, 198 is 7056011160.
2. How to calculate the LCM of 562, 360, 136, 746, 198?
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 562, 360, 136, 746, 198.
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}.