LCM of 148, 306, 312, 144, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 148, 306, 312, 144, 352 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 148, 306, 312, 144, 352. So, keep reading to learn more.
Given numbers are 148,306,312,144,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 148,306,312,144,352 is 25904736.
Find LCM of 148,306,312,144,352 with Prime Factorization
| 2 | 148, 306, 312, 144, 352 |
| 2 | 74, 153, 156, 72, 176 |
| 2 | 37, 153, 78, 36, 88 |
| 2 | 37, 153, 39, 18, 44 |
| 3 | 37, 153, 39, 9, 22 |
| 3 | 37, 51, 13, 3, 22 |
| 37, 17, 13, 1, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 37 x 17 x 13 x 1 x 22 = 25904736
Therefore, the lowest common multiple of 148,306,312,144,352 is 25904736.
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.
148 x 306 x 312 x 144 x 352 = 716214140928
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.
148 : 1, 2, 4, 37, 74, 148
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,306,312,144,352, is 2.
Now, the common factors can be found like this.
148:2x 2x 37
306:2x 3x 3x 17
312:2x 2x 2x 3x 13
144:2x 2x 2x 2x 3x 3
352:2x 2x 2x 2x 2x 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 2x 2x 2x 2x 3x 3x 3 = 13824
Therefore, the value for common factors is 13824.
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 = 716214140928/(2x13824)
LCM = 716214140928/27648
LCM = 25904736
Thus, we can understand that the LCM of 148,306,312,144,352 is 25904736.
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FAQs on LCM of 148, 306, 312, 144, 352
1. What is the LCM of 148, 306, 312, 144, 352?
Answer: LCM of 148, 306, 312, 144, 352 is 25904736.
2. How to calculate the LCM of 148, 306, 312, 144, 352?
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 148, 306, 312, 144, 352.
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}.