LCM of 361, 765, 297, 148
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 765, 297, 148 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 361, 765, 297, 148. So, keep reading to learn more.
Given numbers are 361,765,297,148
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,765,297,148 is 1348789860.
Find LCM of 361,765,297,148 with Prime Factorization
| 3 | 361, 765, 297, 148 |
| 3 | 361, 255, 99, 148 |
| 361, 85, 33, 148 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 361 x 85 x 33 x 148 = 1348789860
Therefore, the lowest common multiple of 361,765,297,148 is 1348789860.
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.
361 x 765 x 297 x 148 = 12139108740
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.
361 : 1, 19, 361
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
297 : 1, 3, 9, 11, 27, 33, 99, 297
148 : 1, 2, 4, 37, 74, 148
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,765,297,148, is 1.
Now, the common factors can be found like this.
361:19x 19
765:3x 3x 5x 17
297:3x 3x 3x 11
148:2x 2x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 12139108740/(1x9)
LCM = 12139108740/9
LCM = 1348789860
Thus, we can understand that the LCM of 361,765,297,148 is 1348789860.
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FAQs on LCM of 361, 765, 297, 148
1. What is the LCM of 361, 765, 297, 148?
Answer: LCM of 361, 765, 297, 148 is 1348789860.
2. How to calculate the LCM of 361, 765, 297, 148?
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 361, 765, 297, 148.
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}.