LCM of 402, 545, 210, 361, 318
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 402, 545, 210, 361, 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 402, 545, 210, 361, 318. So, keep reading to learn more.
Given numbers are 402,545,210,361,318
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 402,545,210,361,318 is 29342942790.
Find LCM of 402,545,210,361,318 with Prime Factorization
| 2 | 402, 545, 210, 361, 318 |
| 3 | 201, 545, 105, 361, 159 |
| 5 | 67, 545, 35, 361, 53 |
| 67, 109, 7, 361, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 67 x 109 x 7 x 361 x 53 = 29342942790
Therefore, the lowest common multiple of 402,545,210,361,318 is 29342942790.
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.
402 x 545 x 210 x 361 x 318 = 5281729702200
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.
402 : 1, 2, 3, 6, 67, 134, 201, 402
545 : 1, 5, 109, 545
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
361 : 1, 19, 361
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 402,545,210,361,318, is 1.
Now, the common factors can be found like this.
402:2x 3x 67
545:5x 109
210:2x 3x 5x 7
361:19x 19
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 2x 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 5281729702200/(1x180)
LCM = 5281729702200/180
LCM = 29342942790
Thus, we can understand that the LCM of 402,545,210,361,318 is 29342942790.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 402, 545, 210, 361, 318
1. What is the LCM of 402, 545, 210, 361, 318?
Answer: LCM of 402, 545, 210, 361, 318 is 29342942790.
2. How to calculate the LCM of 402, 545, 210, 361, 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 402, 545, 210, 361, 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}.