LCM of 147, 377, 145, 305
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 147, 377, 145, 305 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 147, 377, 145, 305. So, keep reading to learn more.
Given numbers are 147,377,145,305
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 147,377,145,305 is 16902795.
Find LCM of 147,377,145,305 with Prime Factorization
| 5 | 147, 377, 145, 305 |
| 29 | 147, 377, 29, 61 |
| 147, 13, 1, 61 |
Multiply the prime numbers at the bottom and the left side.
5 x 29 x 147 x 13 x 1 x 61 = 16902795
Therefore, the lowest common multiple of 147,377,145,305 is 16902795.
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.
147 x 377 x 145 x 305 = 2450905275
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.
147 : 1, 3, 7, 21, 49, 147
377 : 1, 13, 29, 377
145 : 1, 5, 29, 145
305 : 1, 5, 61, 305
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 147,377,145,305, is 1.
Now, the common factors can be found like this.
147:3x 7x 7
377:13x 29
145:5x 29
305:5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 29 = 145
Therefore, the value for common factors is 145.
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 = 2450905275/(1x145)
LCM = 2450905275/145
LCM = 16902795
Thus, we can understand that the LCM of 147,377,145,305 is 16902795.
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FAQs on LCM of 147, 377, 145, 305
1. What is the LCM of 147, 377, 145, 305?
Answer: LCM of 147, 377, 145, 305 is 16902795.
2. How to calculate the LCM of 147, 377, 145, 305?
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 147, 377, 145, 305.
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}.