LCM of 646, 573, 153, 195, 318
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 646, 573, 153, 195, 318 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 646, 573, 153, 195, 318. So, keep reading to learn more.
Given numbers are 646,573,153,195,318
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 646,573,153,195,318 is 3825582930.
Find LCM of 646,573,153,195,318 with Prime Factorization
| 2 | 646, 573, 153, 195, 318 |
| 3 | 323, 573, 153, 195, 159 |
| 17 | 323, 191, 51, 65, 53 |
| 19, 191, 3, 65, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 191 x 3 x 65 x 53 = 3825582930
Therefore, the lowest common multiple of 646,573,153,195,318 is 3825582930.
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.
646 x 573 x 153 x 195 x 318 = 3511885129740
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.
646 : 1, 2, 17, 19, 34, 38, 323, 646
573 : 1, 3, 191, 573
153 : 1, 3, 9, 17, 51, 153
195 : 1, 3, 5, 13, 15, 39, 65, 195
318 : 1, 2, 3, 6, 53, 106, 159, 318
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,573,153,195,318, is 1.
Now, the common factors can be found like this.
646:2x 17x 19
573:3x 191
153:3x 3x 17
195:3x 5x 13
318:2x 3x 53
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 3x 3x 17 = 918
Therefore, the value for common factors is 918.
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 = 3511885129740/(1x918)
LCM = 3511885129740/918
LCM = 3825582930
Thus, we can understand that the LCM of 646,573,153,195,318 is 3825582930.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 646, 573, 153, 195, 318
1. What is the LCM of 646, 573, 153, 195, 318?
Answer: LCM of 646, 573, 153, 195, 318 is 3825582930.
2. How to calculate the LCM of 646, 573, 153, 195, 318?
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 646, 573, 153, 195, 318.
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}.