LCM of 296, 465, 646, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 296, 465, 646, 357 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 296, 465, 646, 357. So, keep reading to learn more.
Given numbers are 296,465,646,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 296,465,646,357 is 311204040.
Find LCM of 296,465,646,357 with Prime Factorization
| 2 | 296, 465, 646, 357 |
| 3 | 148, 465, 323, 357 |
| 17 | 148, 155, 323, 119 |
| 148, 155, 19, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 148 x 155 x 19 x 7 = 311204040
Therefore, the lowest common multiple of 296,465,646,357 is 311204040.
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.
296 x 465 x 646 x 357 = 31742812080
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.
296 : 1, 2, 4, 8, 37, 74, 148, 296
465 : 1, 3, 5, 15, 31, 93, 155, 465
646 : 1, 2, 17, 19, 34, 38, 323, 646
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,465,646,357, is 1.
Now, the common factors can be found like this.
296:2x 2x 2x 37
465:3x 5x 31
646:2x 17x 19
357:3x 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 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 31742812080/(1x102)
LCM = 31742812080/102
LCM = 311204040
Thus, we can understand that the LCM of 296,465,646,357 is 311204040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 296, 465, 646, 357
1. What is the LCM of 296, 465, 646, 357?
Answer: LCM of 296, 465, 646, 357 is 311204040.
2. How to calculate the LCM of 296, 465, 646, 357?
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 296, 465, 646, 357.
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}.