LCM of 690, 278, 580, 222
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 690, 278, 580, 222 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 690, 278, 580, 222. So, keep reading to learn more.
Given numbers are 690,278,580,222
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,278,580,222 is 205822860.
Find LCM of 690,278,580,222 with Prime Factorization
| 2 | 690, 278, 580, 222 |
| 3 | 345, 139, 290, 111 |
| 5 | 115, 139, 290, 37 |
| 23, 139, 58, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 139 x 58 x 37 = 205822860
Therefore, the lowest common multiple of 690,278,580,222 is 205822860.
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.
690 x 278 x 580 x 222 = 24698743200
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.
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
278 : 1, 2, 139, 278
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
222 : 1, 2, 3, 6, 37, 74, 111, 222
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,278,580,222, is 2.
Now, the common factors can be found like this.
690:2x 3x 5x 23
278:2x 139
580:2x 2x 5x 29
222:2x 3x 37
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 5 = 60
Therefore, the value for common factors is 60.
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 = 24698743200/(2x60)
LCM = 24698743200/120
LCM = 205822860
Thus, we can understand that the LCM of 690,278,580,222 is 205822860.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 690, 278, 580, 222
1. What is the LCM of 690, 278, 580, 222?
Answer: LCM of 690, 278, 580, 222 is 205822860.
2. How to calculate the LCM of 690, 278, 580, 222?
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 690, 278, 580, 222.
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}.