LCM of 300, 240, 136, 157, 238
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 300, 240, 136, 157, 238 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 300, 240, 136, 157, 238. So, keep reading to learn more.
Given numbers are 300,240,136,157,238
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 300,240,136,157,238 is 22419600.
Find LCM of 300,240,136,157,238 with Prime Factorization
| 2 | 300, 240, 136, 157, 238 |
| 2 | 150, 120, 68, 157, 119 |
| 2 | 75, 60, 34, 157, 119 |
| 3 | 75, 30, 17, 157, 119 |
| 5 | 25, 10, 17, 157, 119 |
| 17 | 5, 2, 17, 157, 119 |
| 5, 2, 1, 157, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 17 x 5 x 2 x 1 x 157 x 7 = 22419600
Therefore, the lowest common multiple of 300,240,136,157,238 is 22419600.
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.
300 x 240 x 136 x 157 x 238 = 365887872000
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.
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
136 : 1, 2, 4, 8, 17, 34, 68, 136
157 : 1, 157
238 : 1, 2, 7, 14, 17, 34, 119, 238
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,240,136,157,238, is 1.
Now, the common factors can be found like this.
300:2x 2x 3x 5x 5
240:2x 2x 2x 2x 3x 5
136:2x 2x 2x 17
157:157
238:2x 7x 17
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 2x 3x 5x 17 = 16320
Therefore, the value for common factors is 16320.
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 = 365887872000/(1x16320)
LCM = 365887872000/16320
LCM = 22419600
Thus, we can understand that the LCM of 300,240,136,157,238 is 22419600.
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FAQs on LCM of 300, 240, 136, 157, 238
1. What is the LCM of 300, 240, 136, 157, 238?
Answer: LCM of 300, 240, 136, 157, 238 is 22419600.
2. How to calculate the LCM of 300, 240, 136, 157, 238?
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 300, 240, 136, 157, 238.
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}.